Nope, not buying it.
Today if you drive you have to actively sit in traffic.
Replace that with a commute in an isolated near-soundproof private office with a comfy chair, fancy sound system.
You're gonna see people who can afford it choose to take the luxury ride over standing packed in a bus or train.
You're gonna see people who lived 25 minutes from their office because they didn't want to lose more than an hour total a day driving start be willing to put up with a longer commute to get more space for the same money, since the commute is now idle alone time, to work or relax as desired.
You take away the biggest negative about something that is seen as a luxury good compared to the alternatives in most of the US. You're gonna get more usage.
However: turn most of the street parking into bus and/or bike lanes, the parking garages into apartments, seems like an absolute win. (Except for Chicago, which is presumably going to have more problems with its privatized street parking.)
Look at commute length. When families had a maximum of one car, you simply couldn't live very far from work. As soon as you got two cars per family, commute times and traffic exploded.
If you can simply sleep during the trip, how much further will people be willing to commute? I suspect quite a bit.
I wouldn't bank on ride-sharing either. Only a fraction of ride-calls are shared, and ride-calls are of course on a fraction of road traffic compared to private vehicles. Ride-sharing is probably going to be less popular in autonomous cars since you don't have the driver to act as a buffer with whatever weird stranger you can end up with, and the financial pressure to share a car is lower when you have no driver to pay for.