> The reason uber didn't loose that much business is because it replaced the established businesses and left most consumers with little alternative.

The established businesses were awful. There was not a thriving and beloved taxi service in every city pre-Uber. Taxis were bad and very expensive.

Also did you forget that Lyft exists and normal taxis are still available? Taxi services had to improve their business when the ride sharing companies entered the market because they previously relied on their own grip on on-demand transportation to keep prices high and service poor.