I wasn't sure if it was just me, but in that case what makes Uber so valuable? Are they banking on putting all the taxi companies out of business and then monopolising the market?

Not in the US. Taxi companies in US cities are terrible.

A great marketing win for Uber here. It became known worldwide as an "innovative technology company" even though outside US, it's only innovation is funneling SV money to lawyers so that they can maintain their illegal business practices while they conquer the local markets. E.g. in Europe we've already had all the other "innovative" stuff. But people don't notice it, instead naively buying the "Uber = innovation" marketing.

The funny thing here is that a couple cab companies have done seemingly irreparable damage to the worldwide taxi industry, merely by virtue of being based in San Francisco and allowing drivers to regularly flake or refuse service to slightly less profitable areas.

Interesting. In my mid-sized town, the local, independent taxi firm has all of them. The app, text messaging when you book, when the driver is on his way, when he's at your front door along with the make, colour and license plate of the car, etc etc.