I strongly believe it will go the other way, i.e. the 'robo-taxi' vision. Once cars can pick us up, take us where we want and then disappear, very few people will want to own their own car. I honestly think the vast majority of people already don't want to own one, but we don't have a better option. Why would a sane person want to deal with the maintenance, insurance, repairs, depreciation, etc.
Cars will just show up, take us places then go away to get someone else. We won't need nearly as many of them, and we won't need to dedicate so much of our cities to them, and especially not to parking them. We will be able to reclaim our cities.
NOTE: Old School automakers who can't/won't/don't adapt are going to push back on this HARD. But I still think it will happen.
For the record, I'm a car guy. I love cars. I will likely always have one for the weekends. If I was going into a city or commuting, I would take the robi-taxi every time.