I am unsure what you mean by this. If you mean that BA doesn't have any domestic awards on AA, US, or AS, that is untrue. Again, look for milesaaver availability on aa.com, if you find it (and that availability does not include flights on AS or HA) then you should be able to book the same flights with avios. For AS flights you have to call to book. HA milesaaver availability cannot be booked with avios.