So, it appears that when giving everyone equal infrastructure, motorists are still awful at getting around.
The reason Dutch cyclists don’t break laws is that there’s little reason to. Their traffic signals work for cyclists, their paths work for cyclists, there’s no reason to speed, etc.
Compare that to most cities in North America, and “breaking the law” for a cyclist means not wanting to wait 10 minutes at the same red light because there aren’t any cars to trigger a change to green. Or riding on sidewalks because nobody feels safe on roads with semi-trucks and pickup trucks refusing to give them any space.
When motorists break the law, it’s because they are impatient or just don’t know how to drive. When cyclists do it, it’s to either be safe or because the infrastructure is so poor that it makes normal cycling behaviour seem like a crime.