When I went through LAX last month I didn't have any issue with getting into the UC as *G OZ (Lifetime Diamond Plus). The *A rules say that only UA *G doesn't get club access on purely domestic UA flight itineraries. I haven't tried the AC MLL at LAX so I can't comment on that one. The only airport I've had an issue with UC access has been EWR(go figure) who didn't believe that OZ was a *A member (excuse du jour) , fixed with a manager in a couple of minutes.