You can't really pick and choose where to have your bankruptcy. This filing is for FTX's US entities, those in Antigua will be wound up with Antigua's rules.
FTX Trading Ltd is "is incorporated in Antigua and Barbuda, and headquartered in The Bahamas", yet the linked statement clearly says FTX Trading Ltd (plus the FTX US entity, and Alameda, and others) are filing for Chapter 11 under US law in Delaware.
Is there a parent company of FTX Trading Ltd that's based in the US?
Edit: Apparently "Paper Bird Inc" is registered in Delaware, is 100% owned by SBF, and has ~89% ownership of FTX Trading Ltd.
The US has Chapter 11 bankruptcy, while Antigua and Barbuda might only have something more closer to the US's Chapter 7.