ACtually I personally do grease hinges and latches, one thing I dont really do is check over the interior options, fan speeds mirror lights ect little things like that. I do make sure all the seat belt latches latch and check all the exterior lights.
But if aony of you take your car in for an inspection your more then likely paying cash, which techs get paid more time for doing then warranty work, so dont be surprized if they call you with a laundry list of things your car needs. Expect suspension, rotate balance, alignment engine belts. There usually the main things we try to sell since they pay pretty good.