I have a spinal cord injury (snowboarding) and use a wheelchair as a result of having no sensation/movement below my chest. One of the most annoying consequences is being unable to move around London quickly. The tube is inaccessible, buses are slow and you often have to have a pitched battle with pushchairs.

Black cabs provided a relatively quick/convenient method of transport since they all have a ramp - not without issue but possible to get in one in less that a minute. I've not tried uber yet as I'm apprehensive about the hassle of getting in and out and getting the driver to help stow my chair. People are usually pretty keen to be helpful but it's a bit tricky and their default idea of helping is often counter productive. Also if they don't stop near the kerb you have to get them to move and the passenger side of a car is harder to get in and out due to the height of the kerb.

Black cab resides effectively subsidise my ability to get around so I am somewhat concerned to think they might be 'disrupted' wholesale.