At least as far as New York City goes this is wrong. Car ownership in the city is correlated with income; the poorer you are the more likely you are to not own a car and instead take public transit to work. https://wellango.github.io/posts/2021/06/who-owns-cars-in-nyc/
There have been repeated studies (see https://nyc.streetsblog.org/2007/11/02/fact-check-congestion-pricing-is-not-a-regressive-tax or https://citylimits.org/2017/09/07/debate-fact-check-is-congestion-pricing-regressive/) that in NYC congestion pricing would not be a regressive tax, and in fact would be progressive given the composition of car ownership in the city. Couple this with the fact that less cars means a more pleasant experience for those walking and taking transit (the vast majority of New Yorkers, especially amongst the poor) it's clear that congestion pricing would be a good thing.
Also note that in Manhattan there is already a service charge tacked on to all Ubers, and you need to be a licensed cab driver by the NYC Taxi and Limousine Commission to drive an Uber in the first place. It's not like other places in the United States where anybody can be an Uber driver.