So no, even per mile driven, cars kill people and bikes pretty much don't. And you should take the buss or train everywhere if you follow that logic to the extreme.
In France, each dataset shows consistently that accidents are very often caused by cyclists. 35% of the deadly accidents involving another road user were caused by cyclists, and if you consider serious accidents, in 2/3rd of the cases, no cars were involved.
Many deadly accidents are also caused by...a stroke (22% of the deaths), especially for older cyclists. This contradicts your point, as 1/3rd of the "solo deaths" are not caused by strokes. Indeed, 35% of the cyclists dying on the road do not involve another road user.
Hence, when you consider the total amount of cyclists killed on the road, less than half are in accidents where the car is responsible. In the case of suicide-by-redlight, is the car really to blame honestly? [0]
Hence, when accounting for minutes spend on the road, bikes are by far the most dangerous (excluding motorbikes, which at this point is a public program for organ donation).[1]
[0] https://www.cerema.fr/system/files/documents/2024/05/3._2024...
[1] https://www.quechoisir.org/actualite-velo-infographie-plus-d...
Have you seen how many car drivers can't resist to listen to music? They even drive with closed windows. It's even worse like having headphones on, because they don't hear people shouting before they hit them plus a car is faster and heavier. Let's start there for general safety.
And car drivers don't wear helmet either, yet I don't hear motorcyclists whine that it's unfair that we ask them to wear one for their own safety. Again, you can't refuse to follow basic safety rules, then complain that cyclists die on the road.