@A Non e-mouse
That is an excellent read, it looks as though British law has the measure of Uber too, particularly with the Duck Test.
Let's face it, they provide the client to the driver, they are the collectors of the fare and they subsequently pay the driver, sounds like an employer to me.
I have worked as a mini-cab driver in the '80s, in those days a driver would rent a radio from a company (£40 a week) and pick up fares who had called in to the office for a ride, the fare paid the driver who was self employed and paid his own way with regard to insurance, car maintenance etc.
Where Uber falls down is they want to handle the money first and dole it out to the drivers and have control, if they have control they are the employer, if instead they just sold a subscription to the app for a fixed period ( in a similar way to renting a radio) so that drivers and rides can connect, they would have far less overhead and would not be an employer in any way. Might still have to pay VAT in the UK though.