It's more than a belief... the statistics bear it out.
"The lowest 2015 death rate by vehicle type is for very large SUVs: 13 deaths per million registered vehicles. The highest is for mini cars: 64 deaths per million registered vehicles."
https://www.edmunds.com/car-safety/are-smaller-cars-as-safe-...
That could just mean SUV drivers drive less, or a myriad of other things. PG posted on Twitter a while back a study that showed SUVs were _less_ safe (per mile driven? I think).
This is a very simple matter of physics. Do you know what typically kills in a car crash? Extreme G-forces generated by near instantaneous deceleration. Big, heavy things have to expend more energy to decelerate, so they tend to do so at a relatively slower rate. Small things can be stopped very quickly. Therefore, someone in a big, heavy SUV is going to have much higher chances of survival than someone in a Mini.
But the article was from 2003, unfortunately. Searching online I can't find statistics per mile driven, which is what you need to made the claims the replies to my posts are making.
It means that F=ma - the bigger you are, the safer you are. The driver of a small 2 seater car is going to be worse off than a huge semi if they both collide.