Gaon,
Rav Vozner is not Chasidish. Everything you just said doesn’t dispute the fact that it is minimally the “minhag” hamakom.
Are you really trying to claim that if a Kiryas Yoel woman or a New Square woman or a woman from one of the many Chareidi (including most non-Chasidish Chareidim in Eretz Yisroel) communities where women do not drive, wants to drive then she can disregard the community and simply drive at will?