Some of the OW members are certainly better than others at handling the priority bags - Lan, Finnair, the dearly departed Canadian and Lingus are certinly better. AA do it when the mood takes them. A priority tag on BA is an invitation for them to misplace your bag at LHR.
However, my point is/was, they don't seem to be able to coordinate the priority status of bags when the transfer inter-line. A Lan priority tag means nothing to a baggage bumper at JFK when he/she takes it off the Lan ramp and throws it on to your connecting AA flights.
Surely they could coordinate this better by using a single OW priority tag???