Technically on the member qualifies for valet parking. They have tended to look for the blue membership card as of late. So if you're renting you may get NO free valet parking. For a member, I doubt they'd do free valet parking for two cars under one card. But for a couple, they likely would do so if each had a card.
If you are valet parking at the resort you are staying at, in my experience they look at the member parking permit. I've never had to show my blue card at BWV when I was staying there. You can get 2 parking permits for the room.