You get the allowance due to the operating airline's policies here. And the e-ticket is your contract so that over-rides everything else. However sometimes the e-ticket does not take into account status factors, but in your case I think you're OK anyway. Main thread with all the relevant details is here:
AA/BA/AY/IB Long Haul basic unbundled / HBO fares announced
(note, best read backwards, there were some adjsutments to policy on both BA and AA after a few weeks).