As a BA Emerald it's been hit and miss at LAX. About half of the time there's a question about what a BA Gold (Guest List) as far as OW status. There's a couple of AAgents who've asked for my card several times each. All of the issues have been with mobile BPs, not paper ones. However, most of them don't have any problem. All this is pre FL re-opening at LAX.
Never an issue at JFK, PHL, and MIA