Thanks for the confirmation, that was my understanding. I thought the same about gifts, since my "personal use" will be to give them.
Technically of course one needs to keep the car free of foreign materials, e.g. no lipstick in the glove box if only men are present but I would hope (naively) that even at secondary something like that would pass.
Best thing is always to have at least one woman and one man in the car at all times when crossing through a Nexus lane!
=aw