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Segment Disclosures - Summary of Reportable Segments (Detail) - USD ($)
 3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Revenues:              
Total revenues $ 58,704,960 $ 56,453,889 $ 175,430,595 $ 156,225,998 $ 212,643,094 $ 168,764,571 $ 124,024,363
Operating expenses:              
General and administrative 6,277,252 7,330,245 19,995,770 21,114,475 28,253,905 23,265,196 16,471,199
Depreciation 13,427,138 13,220,916 40,075,331 36,155,008 49,417,679 40,946,406 32,294,627
Intangible amortization expense 1,731,791 4,849,934 5,487,187 13,222,791 15,200,854 12,422,205 9,777,116
Acquisition expenses 75,933 77,813 118,229 780,684 888,009 934,838 1,366,092
Contingent earnout adjustment 0 200,626 0 1,514,447 1,514,447 12,619,744 (2,500,000)
Write-off of equity interest and preexisting relationships in SST IV upon acquisition of control         2,049,682 8,389,573  
Impairment of goodwill and intangible assets             36,465,732
Impairment of investments in Managed REITs         0 0 4,376,879
Total operating expenses 40,565,210 43,555,146 121,779,884 122,810,858 162,875,473 152,435,452 145,164,573
Write-off of equity interest and preexisting relationships upon acquisition of control 0 0 0 2,049,682 2,049,682 8,389,573 0
Gain on sale of real estate       16,101,237 0 178,631 0
Gain resulting from acquisition of unconsolidated affiliates         16,101,237    
Income (loss) from operations 18,139,750 12,898,743 53,650,711 49,516,377 65,868,858 16,507,750 (21,140,210)
Other income (expense):              
Interest expense (15,925,440) (11,752,656) (45,533,886) (28,181,026) (41,511,911) (33,383,604) (36,053,312)
Net loss on extinguishment of debt 0 0 0 (2,393,475) (2,393,475) (2,444,788) 0
Other, net 432,645 1,729,957 2,376,138 1,444,061 (848,805) (2,055,351) 160,461
Income tax benefit (expense) 1,050,050 (102,233) 906,624 402,242 554,785 1,811,275 5,826,258
Equity in earnings (losses) from investments         (1,690,205) (1,050,250) 0
Net income (loss) 2,978,726 2,246,524 9,290,680 19,529,105 21,669,452 (19,564,718) (51,206,803)
Self Storage              
Revenues:              
Total revenues 54,757,580 53,232,671 162,083,066 146,834,058 200,195,381 158,162,934 110,174,925
Operating expenses:              
Depreciation 13,195,987 12,965,473 39,425,200 35,498,513 48,503,743 40,203,484 31,773,526
Intangible amortization expense 1,682,861 4,801,004 5,340,396 12,799,016 14,728,148 11,134,100 5,234,312
Acquisition expenses 75,933 77,813 118,229 780,684 888,009 934,838 1,366,092
Total operating expenses 31,271,344 33,828,309 94,216,683 91,804,788 122,557,010 100,400,079 76,679,129
Gain on sale of real estate           178,631  
Income (loss) from operations 23,486,236 19,404,362 67,866,383 55,029,270 77,638,371 57,941,486 33,495,796
Other income (expense):              
Interest expense (15,883,077) (11,709,293) (45,407,435) (28,051,635) (41,339,401) (33,207,310) (35,864,227)
Net loss on extinguishment of debt       (2,393,475) (2,393,475) (2,444,788)  
Other, net (94,186) 645,520 126,923 394,535 (209,578) (173,245) (783,189)
Income tax benefit (expense) 1,162,745 70,245 705,693 (13,131) 36,197 (193,604) 2,491,215
Net income (loss) 8,671,718 8,410,834 23,291,564 24,965,564 33,732,114 21,922,539 (660,405)
Managed REIT Platform              
Revenues:              
Total revenues 3,947,380 3,221,218 13,347,529 9,391,940 12,447,713 10,601,637 13,849,438
Operating expenses:              
Intangible amortization expense 48,930 48,930 146,791 423,775 472,706 1,288,105 4,542,804
Contingent earnout adjustment   200,626   1,514,447 1,514,447 12,619,744 (2,500,000)
Write-off of equity interest and preexisting relationships in SST IV upon acquisition of control         2,049,682 8,389,573  
Impairment of goodwill and intangible assets             36,465,732
Impairment of investments in Managed REITs             4,376,879
Total operating expenses 2,785,463 2,141,149 6,917,300 9,235,100 11,150,622 28,027,255 51,493,144
Write-off of equity interest and preexisting relationships upon acquisition of control       2,049,682      
Gain on sale of real estate       16,101,237      
Gain resulting from acquisition of unconsolidated affiliates         16,101,237    
Income (loss) from operations 1,161,917 1,080,069 6,430,229 16,258,077 17,398,328 (17,425,618) (37,643,706)
Other income (expense):              
Other, net 696,786 444,287 2,535,800 569,387 155,332 (602,403) 1,222,086
Income tax benefit (expense) (106,011) (92,725) (198,892) 606,719 563,053 2,004,879 3,335,043
Net income (loss) 1,308,649 1,091,467 7,873,344 16,786,635 18,116,713 (16,023,142) (33,086,577)
Corporate and Other              
Operating expenses:              
General and administrative         28,253,905 23,265,196 16,471,199
Depreciation         913,936 742,922 521,101
Total operating expenses         29,167,841 24,008,118 16,992,300
Income (loss) from operations         (29,167,841) (24,008,118) (16,992,300)
Other income (expense):              
Interest expense         (172,510) (176,294) (189,085)
Other, net         (794,559) (1,279,703) (278,436)
Income tax benefit (expense)         (44,465)    
Equity in earnings (losses) from investments (274,236) (187,123) (1,215,114) (611,526)      
Net income (loss)         (30,179,375) (25,464,115) (17,459,821)
Corporate and other              
Operating expenses:              
General and administrative 6,277,252 7,330,245 19,995,770 21,114,475      
Depreciation 231,151 255,443 650,131 656,495      
Total operating expenses 6,508,403 7,585,688 20,645,901 21,770,970      
Income (loss) from operations (6,508,403) (7,585,688) (20,645,901) (21,770,970)      
Other income (expense):              
Interest expense (42,363) (43,363) (126,451) (129,391)      
Other, net (1,699,955) 640,150 (286,585) (480,139)      
Income tax benefit (expense) (6,684) (79,753) 399,823 (191,346)      
Net income (loss) (7,001,641) (7,255,777) (21,874,228) (22,223,094)      
Self Storage Rental Revenue              
Revenues:              
Total revenues 52,502,410 51,022,976 155,457,123 140,551,208 191,749,578 150,610,337 104,888,883
Self Storage Rental Revenue | Self Storage              
Revenues:              
Total revenues 52,502,410 51,022,976 155,457,123 140,551,208 191,749,578 150,610,337 104,888,883
Ancillary Operating Revenue              
Revenues:              
Total revenues 2,255,170 2,209,695 6,625,943 6,282,850 8,445,803 7,552,597 5,286,042
Ancillary Operating Revenue | Self Storage              
Revenues:              
Total revenues 2,255,170 2,209,695 6,625,943 6,282,850 8,445,803 7,552,597 5,286,042
Managed REIT Platform Revenue              
Revenues:              
Total revenues 2,517,853 2,055,224 9,115,093 5,877,454 7,819,216 6,322,970 8,048,630
Managed REIT Platform Revenue | Managed REIT Platform              
Revenues:              
Total revenues 2,517,853 2,055,224 9,115,093 5,877,454 7,819,216 6,322,970 8,048,630
Reimbursable Costs from Managed REITs              
Revenues:              
Total revenues 1,429,527 1,165,994 4,232,436 3,514,486 4,628,497 4,278,667 5,800,808
Operating expenses:              
Operating expenses 1,429,527 1,165,994 4,232,436 3,514,486 4,628,497 4,278,667 5,800,808
Reimbursable Costs from Managed REITs | Managed REIT Platform              
Revenues:              
Total revenues 1,429,527 1,165,994 4,232,436 3,514,486 4,628,497 4,278,667 5,800,808
Operating expenses:              
Operating expenses 1,429,527 1,165,994 4,232,436 3,514,486 4,628,497 4,278,667 5,800,808
Property Operating Expenses              
Operating expenses:              
Operating expenses 16,316,563 15,984,019 49,332,858 42,726,575 58,437,110 48,127,657 38,305,199
Property Operating Expenses | Self Storage              
Operating expenses:              
Operating expenses 16,316,563 15,984,019 49,332,858 42,726,575 58,437,110 48,127,657 38,305,199
Managed REIT Platform Expenses              
Operating expenses:              
Operating expenses 1,307,006 725,599 2,538,073 1,732,710 2,485,290 1,451,166 2,806,921
Managed REIT Platform Expenses | Managed REIT Platform              
Operating expenses:              
Operating expenses 1,307,006 725,599 2,538,073 1,732,710 $ 2,485,290 $ 1,451,166 $ 2,806,921
Managed REITS              
Other income (expense):              
Equity in earnings (losses) from investments (444,043) (340,164) (893,793) (647,548)      
Managed REITS | Managed REIT Platform              
Other income (expense):              
Equity in earnings (losses) from investments (444,043) (340,164) (893,793) (647,548)      
JV Properties              
Other income (expense):              
Equity in earnings (losses) from investments (274,236) (187,123) (1,215,114) (611,526)      
JV Properties | Corporate and other              
Other income (expense):              
Equity in earnings (losses) from investments $ (274,236) $ (187,123) $ (1,215,114) $ (611,526)