I'm not sure I agree. If I drive a car to work, it sits in a parking garage all the rest of the day. If I take a Lyft, it continues to roam the streets waiting for the next fare. Any rideshare (or taxi, for that matter) that is not actively hired is a car that would not otherwise have been out on the road. I don't think they're currently numerous enough to make a huge difference, at least where I live (outside L.A.), but the difference definitely isn't on the side of less traffic.
I'm all for transportation options (and don't forget housing options!) that incentivize people not to own cars, but replacing my car with another car that has to drive a bit farther doesn't get cars off the road.