Hi vSFU
Assuming that your Hertz No1 Gold Card details are in the booking, then I would go directly to the Hertz compound if I were you and collect your car.
We have rented cars quite a few times from Hertz at LAX (also Gold Card holders). The driver normally asks who are Gold Card holders, when you get on the bus, and checks that they have record of your reservation. The bus will then drop you off at the Gold bays/office, you look at a big board for your bay number and off you go (keys in the car). Have your dirvers licence handy for the person at the exit barrier (and tick the appropriate box if you want to pre-pay fuel).
Can't see any point to going to the counter in the terminal, but I could be wrong...
Hertz compound is a 5 or so minute shuttle drive (depending on traffic) from the terminal.
Boo