toots wrote:
Clearly London need to get with the same rules as every other council ffs, what's the problem with private hire having meters anyway

The topography test for private hire in London is a joke (i.e. the first question is to draw and name the four points of the compass).
If PH here were metered, and you had a rubbish driver who gets lost, and goes round in circles, you would be overcharged.
In the case of Uber, driver's have a rating system, where passengers can rate the driver out of 5 stars after the ride (something similar to eBay maybe), if the driver gets lost you would give them a low rating and eventually they'll soon get kicked off Uber (they have a cut off point, I believe).
After an Uber ride, you get e-mailed a receipt showing how the fare was calculated (base fare + distance + time), and a map (Google, naturally), showing the route the driver took. If you think the route wasn't a reasonably direct one, you can ask Uber for a fare review.
I have never had a problem with the route taken when I use them.
That's all very interesting, but, I fail to see what you have written having any relevance to what I wrote