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Balance Sheet Information - Summary of Certain Significant Amounts Included in Condensed Consolidated Balance Sheet (Detail) - USD ($)
$ in Thousands
Jun. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Expendable parts and supplies, net:      
Expendable parts and supplies $ 23,441 $ 39,089 $ 39,630
Less: expendable parts warranty (4,355) (6,079) (6,295)
Less: obsolescence (2,914) (4,738) (4,090)
Expendable parts and supplies, net 16,172 28,272 29,245
Prepaid expenses and other current assets:      
Prepaid aviation insurance   740 3,176
Prepaid vendors   966 143
Prepaid other insurance   1,066 1,205
Lease Incentives   143 1,125
Prepaid fuel and other   456 1,645
Prepaid expenses and other current assets 2,714 3,371 7,294
Property and equipment, net:      
Property and equipment-gross 59,692 600,924 1,049,203
Less: accumulated depreciation (27,842) (174,573) (351,181)
Property and equipment-net 31,850 426,351 698,022
Property and equipment, net 31,850 426,351  
Other assets:      
Investments in equity securities 350 300 20,320
Lease incentives   812 954
Contract asset 4,441 6,081 8,756
Other 675 516 516
Other assets 5,466 7,709 30,546
Other accrued expenses:      
Accrued property taxes 2,483 4,650 5,281
Accrued interest 1,029 2,997 3,447
Accrued vacation 6,497 7,421 6,763
Accrued lodging 4,092 4,433 3,984
Accrued maintenance 1,415 2,493 2,117
Accrued employee benefits 1,550 1,075 1,450
Accrued fleet operating expense 412 2,751 650
Other 5,537 6,488 3,309
Other accrued expenses 23,015 32,308 27,001
Other noncurrent liabilities:      
Warrant liabilities 100 25,225 25,225
Lease incentive obligations   1,050 1,050
Long-term employee benefits 1,737 485 429
Other   1,819 1,818
Other noncurrent liabilities 1,837 28,579 28,522
Aircraft and Other Flight Equipment [Member]      
Property and equipment, net:      
Property and equipment-gross 50,104 591,421 1,039,782
Other Machinery and Equipment [Member]      
Property and equipment, net:      
Property and equipment-gross $ 9,588 $ 9,503 $ 9,421