LHRSIB, at best, does not have a grasp of reality concerning American Airlines and American Eagle. They are two separate companies with two separate labor contracts and two completely separate labor unions. AA management decides on who gets hired/flows-thru at AA, not the APA. The so-called "flow-thru" from AE to AA is governed by contract. Further, AA has had up to 3000 of its own pilots on furlough for the last 6 years, and, of course, no hiring, hence no pilots from AE. At present there are still almost 2000 APA pilots still on furlough.
With that bit of slander debunked, American Airlines pilots fully supports BA pilots in protecting the profession.