Uber has changed your life for the better, by taking advantage of thousands of other people. Worrying about going back to the taxi Stone Age is actually worry about making things fair for those people.
Taxi drivers weren't treated fairly[1]. They were just abused by others instead of by Big Tech, so nobody cared. The appearance of Uber has actually allowed some progress in their labour rights[2].
[1] https://www.nytimes.com/1995/04/09/nyregion/driving-a-taxi-d...
[2] https://www.washingtonpost.com/news/wonk/wp/2015/10/29/labor...