AA also suffer with Oneworld passengers being actively routed via DUB and bypassing their joint venture with BA.
Not they don't (well not yet), they are not in JV or code share with AA, while they code share with BA traditional routes like JFK/ORD ex MAN are all routed via LHR or on AA metal on BA/AA website.
May well be a case of who's blinks first, I don't think VS will help things on JFK especially for AA.