Earlier quoted context omitted.
Re: "all costs are the same as before" If you mean the same as running a Taxi, you're ignoring the higher prices caused by the artificial scarcity imposed by the medallion system, and ignoring the cost / fee for of the medallion itself. Uber could absolutely return some of that to the user in the form of lower prices than traditional taxis; and keep some for itself, of course.
Uber also has some efficiencies - its ability to pair customers and drivers makes robust taxi markets in a lot of places that wouldn't otherwise have them. (I honestly don't even know if my city has a traditional taxi company, but it definitely has Uber and Lyft)
(To be fair, this was the eastern panhandle, which has the capital and the tourist attractions.)