Women have enough to worry about with their own mitzvos, there’s no need to impose another hardship on them. You should see the shopping my mother used to bring home from the supermarket, like 10-15 shopping bags full of stuff. You’re telling me she should take that to the bus? Or go shopping more often and take time from the 1,000,000 other things she needs to do?
Nobody here has yet said what disadvantages DRIVING has over other ways of getting from point A to B (bus, walking, scooter, etc). That statement from R’ Wosner needs clarification as well. What was the context? Did he mean ALL women, everywhere? IF no context and yes, all women, I think that a pretty myopic thing to say what with frum women scattered over millions of miles of terra firma in tens of thousands of different living arrangements and situations.