In my city, especially as a disabled person, I've had vastly better experience with Uber than with regular cabs. Just being able to indicate precisely where to stop on a map is an incredible improvement for me over having to provide instructions to a cab driver who can't find the spot. Not having to deal with cash, drivers more willing to help etc. gives me a much better experience with an Uber.
I hailed a cab during the big tube strike a few years back. 60 GBP got me, not to the airport, but the DLR (automated trains; no drivers). We had to stop by an ATM since he didn't take cards. Uber had surge pricing at the time due to the strike, so I'm not really sure which one would have been worse.
Uber is far from unique in refusing service dogs or wheelchairs. It seems the rules are more clearly explained to regulated taxis than they are to less regulated minicabs.
Here in Vilnius I feel the same. Uber was late to the game (which is weird as they have an engineering office here) so there were a number of other apps launched by local companies that worked with the existing taxi companies. They provided exactly the same service (mobile app where you can specify pickup and drop off locations, and card payment) as Uber, so when they finally launched it wasn’t a big deal.
It’s been two years since Uber launched and they still haven’t really taken off, mainly because they are a lot more expensive than the other apps and don’t have as many cars. Although Uber’s cars are a bit nicer (executive car vs 10yo Prius), people here are cost sensitive so that isn’t really a selling point.
And yeah, I'm a Londoner, don't really feel the need for Uber to exist in my area.