Nonsense. The injury rate on bikes dwarfs cars even putting aside collisions with motor vehicles.
https://www.rospa.com/rospaweb/docs/advice-services/road-saf...
Per billion vehicle miles, 1,011 pedal cyclists are killed or seriously injured, in comparison to 26 car drivers6.
That’s per mile traveled, and it’s two orders of magnitude more dangerous by bike.
Almost two thirds of cyclists killed or seriously injured were involved in collisions at, or near, a road junction, with T-junctions being the most commonly involved. Roundabouts are particularly dangerous junctions for cyclists. Not surprisingly, the severity of injuries suffered by cyclists increases with the speed limit, meaning that riders are more likely to suffer serious or fatal injuries on higher speed roads. Almost half of cyclist deaths occur on rural roads.
It’s also a given that all of the billions driving vehicles will not all be safe all of the time, it’s part of life. Some people are drunk, tired, old, or careless... there is no changing this. It’s something to strive to improve, but positive a magical perfect world which allows for cycling to be less risky than driving is fantastical at best, dishonest at worst.
I'm fairly certain a driver also put the lives of everyone on the road at a higher priority than their own convenience. They aren't forced to "veer".
Most people don’t drive for convenience, but necessity.