Really well actually, done correctly it will actually make power production cheaper per watt for everyone.
Since cars spend the vast majority of their time idle they can charge whenever. Whenever in this case being the middle of the night when the lack of workers causes power usage to bottom out.
The power companies would prefer a flat usage line and having cars that can intelligently start charging when ideal can totally help with that.
Additionally I would point out that while zero-emissions is a bit disingenuous electric cars are the only real path forward to zero-emissions. The only other technology is hydrogen which also requires electricity to produce.