Yes, and yes, but (at least where I live), the Uber/Lyft "experience" is not superior to the taxis at all.
Where I live, the taxi companies have their own apps that you can use if you prefer (complete with being able to see where the cab is in realtime), and when you call, you'll usually get a cab within 15 minutes.
Aside from price, there literally isn't anything that Uber or Lyft does that the cab companies don't do at least equally well.
I used (15y+ ago) to go to work and back by taxi every day for years. Recently (last 2-3y) I got taxi on occasionally; also living in a different area. No real difference with app based ones except for the payment methods. That's it, no need to pay anything for app-based ones (not uber) in the taxi, immediately. That makes the ride shorter and I don't need to care if the taxi will be equipped with a POS terminal as I seldom carry cash.