You would be assuming incorrectly -
Since I’m closer to 50 now than 40, I bet I did see kids with the measles growing up, I may have even shared a home with two of them. I’m still not sure why the boys got some things, and I got others. I might know someone paralyzed by the oral polio vaccination when she was 10. Unfortunately, she died of lung cancer a couple of years ago...she didn’t realize there was something serious going on because of the paralysis.
I was vaccinated as a kid and later in college, but I’m still not immune and had to be careful of who I was around when pregnant...I understand the risks, of both the diseases and the manufactured “cure”.
I had the measles and the mumps (missed rubella but was shipped to my grandmother's for 2 weeks when my mother contracted that when I was a child). I had injected polio vaccine in the late 50's and then the oral in the early 60s. The public schools were opened on Sundays to be vaccine clinics for oral (Sabin) vaccine. This was in Philadelphia. Yes, it was a big deal - not mandatory but much desired.
To the best of my knowledge I do not know anyone who has been harmed by any vaccinations.