I'd expect the bike lane blocking problem is not really because of people who "drive to work"; it's because of deliveries, repairs, maintenance and such. (At least where I ride, that's >95 % of bike path disturbances).
I still don't understand how this is relevant. You are not allowed to park in bike lanes, full stop. It doesn't matter why you are going somewhere; it's still illegal regardless of whether you're going to work, or going shopping, or whatever.
Given that most people in Manhattan do not drive, it makes sense to prioritize non-drivers over drivers.