Robot-taxis don't offer the same convenience and status gain of a private car, while a smartphone does every single thing a landline can and more, this is not a good analogy.
The question is how much less convenience will people accept for how much of a saving compared to depreciation, insurance, gas, maintenance, tires, parking repairs and all the rest.
If it’s slightly less convenient and a decent saving, I’m quite sure the vast majority of car owners won’t want to own anymore.