The difference in severity of a crash between a car and a bicycle is on the order of 20x. Are you seeing 20x more agressive cyclists than motorists?
Anyhow, talking about the hospitalization rate without the mortality rate is very odd and smells of manipulation one way or the other.
So the argument of "well it would have hurt more if it was a car!" is cold comfort, and cars aren't mounting pavements to get me...