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Loans and Allowance for Credit Losses - Allowance for Credit Losses and Recorded Investment in Loans Based on Portfolio Segment and Impairment Method (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Jun. 30, 2022
Allowance for loan losses:      
Balance, beginning of year $ 7,052 $ 6,599 $ 6,599
Impact of adopting ASU 2016-13 47    
Provision charged to expense (67) (127) 492
Losses charged off (16) (10) (67)
Recoveries 7 8 28
Balance, end of period 7,023 6,470 7,052
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   6,470 7,052
Loans:      
Ending balance 550,905 512,984 525,736
Ending balance: individually evaluated for impairment   1,129 1,385
Ending balance: collectively evaluated for impairment   511,855 524,351
One- to four-family [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,028 967 967
Impact of adopting ASU 2016-13 382    
Provision charged to expense 126 6 100
Losses charged off 0 0 (40)
Recoveries 1 1 1
Balance, end of period 1,537 974 1,028
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   974 1,028
Loans:      
Ending balance 142,417 117,854 132,474
Ending balance: individually evaluated for impairment   1,086 1,350
Ending balance: collectively evaluated for impairment   116,768 131,124
Multi-family [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,375 1,674 1,674
Impact of adopting ASU 2016-13 (140)    
Provision charged to expense 49 (112) (299)
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 1,284 1,562 1,375
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   1,562 1,375
Loans:      
Ending balance 98,778 97,211 88,247
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   97,211 88,247
Home equity lines of credit [Member]      
Allowance for loan losses:      
Balance, beginning of year 70 67 67
Impact of adopting ASU 2016-13 33    
Provision charged to expense (9) (4) 3
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 94 63 70
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   63 70
Loans:      
Ending balance 6,778 6,274 6,987
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   6,274 6,987
Construction [Member]      
Allowance for loan losses:      
Balance, beginning of year 489 258 258
Impact of adopting ASU 2016-13 192    
Provision charged to expense (132) 63 231
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 549 321 489
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   321 489
Loans:      
Ending balance 34,314 31,209 41,254
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   31,209 41,254
Commercial [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,985 1,831 1,831
Impact of adopting ASU 2016-13 385    
Provision charged to expense 16 85 154
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 2,386 1,916 1,985
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   1,916 1,985
Loans:      
Ending balance 181,934 163,859 167,375
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   163,859 167,375
Commercial [Member]      
Allowance for loan losses:      
Balance, beginning of year 2,025 1,740 1,740
Impact of adopting ASU 2016-13 (818)    
Provision charged to expense (117) (174) 265
Losses charged off (4) 0 0
Recoveries 4 5 20
Balance, end of period 1,090 1,571 2,025
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   1,571 2,025
Loans:      
Ending balance 77,103 88,962 80,418
Ending balance: individually evaluated for impairment   43 35
Ending balance: collectively evaluated for impairment   88,919 80,383
Consumer [Member]      
Allowance for loan losses:      
Balance, beginning of year 80 62 62
Impact of adopting ASU 2016-13 13    
Provision charged to expense 0 9 38
Losses charged off (12) (10) (27)
Recoveries 2 2 7
Balance, end of period 83 63 80
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   63 80
Loans:      
Ending balance $ 9,581 7,615 8,981
Ending balance: individually evaluated for impairment   0 0
Ending balance: collectively evaluated for impairment   $ 7,615 $ 8,981