Fast track security for first class at LAX?

Last week I flew back from LAX in Qantas first (points upgrade, for sure not a regular thing), and at the check-in desk I asked if I could go through security faster so I could reach the lounge in time to enjoy it, as there was quite a long queue

The Qantas person at the service desk said that this was only reserved for platinum status people and not available to Gold (which is my status)

Am I wrong in thinking that first class passengers should have this ability as well?