I'm considering booking JFK-LHR return on a mixed AA BA itinerary to be completed before 30 September. The conditions page for the flights says no refunds. Does that mean BWC does not apply?

Your ticket conditions

Changes to your ticket. Changes permitted at any time for the difference in fare. Changes subject to availability.

Refunds. There are no refunds except for any government & airport taxes.

Service fees. To cancel your booking it is $10.00 online or $25.00 by phone. To make changes to the date/time it is free online or $25.00 by phone.