Gadol, I also clearly don’t hold that it’s assur for women to drive, but don’t just make stuff up and pretend you know what you’re talking about.
Satmars don’t “general discourage” women driving. They posken that it is assur, and your assertion that they suddenly ignore this halachah when they leave their hometown is completely false and you obviously just made it up. Firstly, I have to ask, how did that lie even make practical sense to you? These women don’t have licences and never drive; how could you possibly think they could get behind the wheel of a rental and suddenly know what they’re doing?
Having a male cab driver on busy streets is not yichud (I think according to anyone).