How have Uber and Lyft affected the old-style taxi companies?

Roughly 3 years ago we spent a couple days in Rome pre-cruise. While I had prebooked private limos from/to the airport, I found that Uber/Lyft were not widespread there for intra-city trips

It could be because of local laws, but I was pleasantly shocked (is that possible?) at how affordable the standard white taxis were, like €10 for a ~30 minute ~20 mile trip.