True - but assuming the FF# is correct in the booking, that doesn't address lounge agents looking at the BP incorrectly (which occurs on BA/AA). I have had an AA domestic F BP at JFK, with BA OWE, and told to go the Greenwich lounge (when entitled to Soho). That's a rookie mistake. A poster above indicated being turned away with an F ticket with OWS, too (had a similar incident at BA T3 too).