I much prefer my own scooter, however the rideshare model has a single absolutely massive advantage over private ownership: once you get where you're going you don't need to worry about it getting stolen.
I have the best lock I could find and glued an Apple AirTag to the inside, but still whenever I go to dinner on my scooter I spend 5 minutes trying to find a place to park it and convince the restaurant staff to give me a seat where I can see it (although some very nice people will sometimes let me fold it up and store it inside the restaurant behind the front desk or something), then spend the entire time worried about it getting jacked while I'm eating. I tend to visit only restaurants with sidewalk dining as a result, and I often take a car instead for anything like shopping where monitoring it isn't possible.
Wide availability of secure parking infrastructure (or maybe even law enforcement attempting to do something about theft in the first place) would go a long way toward making private e-vehicles viable transport IMO.