>the burden of proof always lies with the driver of the car, not the bicyclist.

Are there Russia-level[1] dashcam ownership rates, by any chance? That would certainly happen if you had any such law in Britain, because many cyclists are infamously reckless.

[1]Sure most people have seen all the 'crazy Russian dashcam' videos, but if not, just have a search on Youtube. In Russia, everyone has a dashcam because otherwise, insurance will try to wriggle out of paying out in an accident, plus people like to jump in front of cars, get hit, then try to sue the driver.