In all fairness to BA though they are a lot more generous with giving award seats at regular levels to members of other OW programs than AA is.
BA will make award seats available on most days almost every route, same for most other OW members while AA will make every seat available to AA members on AA.COM but not to other OW members. Perhaps other OW airlines should follow suit and exclude AA members from redeeming for most of their flights and only offer a minute amount of award seats the same way AA does.