Doesn't work for YOU, because Uber burned many billions across 15 years making sure they killed all their competitors.
In most places, your options for a taxi service are Uber or go fuck yourself. That's how they're able to get away with their price gouging, privacy recklessness, and share-cropped labor.
Free market dynamics only work if you are in a free market. We're not, there's one player, and they won the market by literally just cheating and breaking the law. Sorry, sorry, "disrupting".