I mean, they could improve the intersection by making it a full stop, but educating bicyclists not to ride out in front of somebody who will hit you if they don't slow down seems like a good step too.
You can't know you haven't made eye contact if you don't know they are there.
What you are saying is just a round about way to tell bicyclists to always yield for cars. It also has no support if you look at statistics, around here the overwheliming majority of accidents between drivers and bicylists are caused by car/bus/van/truck drivers (70%-85% depending on the situation).
Your comment does bring up something interesting. These days, due to sharply sloped front windows (aerodynamic efficiency) and smoked glass rear windows (where allowed) it is almost impossible to even see a driver of an approaching car, much less make eye contact with them. A unintended consequence of what might seem to be two unrelated things.
I'm just suggesting better education is probably a useful avenue to improve the situation.
Another interesting issue is that it is hard to do effective cyclist/pedestrian education in a hardcore car culture. In such an environment it is not really possible to include information about common driver errors such as right and left hooks. I remember the particuarly unhelpful things I learned in school. It came down to looking both ways before crossing the street and riding in a straight line. That is pretty wrongheaded in an environment where 80% of the collisions are caused by driver error.
You may assume that most bicyclists do not want to get killed; of course bicyclists will slow down if they see a car on a collision course, even if they have priority; your suggestion borders on the insulting.