And just what would be the point of bike insurance cover? Car insurance is primarily for property damage and/or medical issues. When's the last time you saw a bike cause serious property damage? And it's obvious that short of a cyclist hitting a pedestrian (rare but it happens) it's the cyclist that's going to need the medical attention - not the car driver.

It's an unpopular idea because it makes no sense. It's needless paperwork, expense and bureaucracy for no real world benefit.