Originally Posted by
CKBA
... only checking since a flight I have with them has an AA number...

Doesn't mean anything with BA. It would mean something if you are crediting the flights to AAdvantage. From aa.com:
Travel ticketed as an American Airlines marketed flight (booked as an AA flight number) and operated by WestJet will earn AAdvantage base miles and elite qualifying miles, points and segments according to the AA mileage accrual chart.