when Uber greatly improves the taxi industry
For who? Certainly not the owner-drivers, for them it is an uninsured race to the bottom.
That is a problem that should be fixed. Insurance companies should not be able to deny you coverage while you are on your way to pick up a fare. Uber provides additional insurance while you are transporting them.
As for customers - Uber do not have any "taxis", they are a plain old (illegal) limo company "on a computer".
Oh, so it's better than taxis?
Taxi's can be hailed on the street,
Not in most cities.
taxi's have ranks and other infrastructure to manage street queues at popular locations,
Not in most cities, or at least, they don't function.
you can talk to a human to book a taxi or use an uber style booking app,
Most companies don't have a booking app, and it is not uber style in any case. It's just like making a phone call. It doesn't do any of the things that the Uber app does.
taxi's have appropriate insurance,
You said that already. Having trouble following your own conversation? Are you new?
taxis have regular mechanical inspections,
A problem best solved by demanding mechanical inspections at mileage checkpoints for all vehicles, taxis or not.
and yes, you can legally negotiate an up front price with a taxi driver.
In my experience, they always tell you that they can't do that in the USA. In other countries, I've had more luck.
Uber brings absolutely nothing to the taxi/limo industry that wasn't already illegal 30yrs ago.
having failed to make a valid logical argument you resort to the false idea that legality equals morality