Positively, perhaps. If you don't need a car to commute, you're more likely not to own one and use ridesharing when you do need to go somewhere by car.
Most people don't use Uber/Lyft for their daily commute (yes, no doubt some on HN do). It can't make economic sense compared to driving yourself.
just re: your last statement, it could make sense if parking costs are high enough. but otherwise, good points
a ton of people I know who live in metro cities (sf, nyc, chicago, etc) used rideshare daily for commute, it's slightly more expensive than public transit and many employers either pay for or subsidize for it.
I think they will do just fine. Uber has Eats which many people who WFH use. Also, remote companies mean lots of travel as employees need to meet in person at least twice a year. Uber and Lyft benefit greatly from business travel.
Uber Eats is a dumpster fire burning cash, so I don’t think it helps Uber’s bottom line very much to increase that side of their business.