Hi OP.

So far, I have always been able to get priority boarding as lowly BA Rust on AA, Ibera and BA flights

Actually, I prefer to board last, but there is a LOT of selfish people taking half their worldly possessions into the overhead locker, like, a small suitcase + a bag similar size + another small bag (why does the gate staff allow this btw???)

On IB and AA tickets PB it should say "Priority" (at least it always said on mine--as far as I can remember):



What did you PB say?

My last flight on AA from LAX, they boarded in sequence: 1. first/bis, 2. BA gold/silver (equivalent) 3. Priority 4. Economy.