Yes, because it's wrong. The measles is a live attenuated vaccine, meaning that in some extremely rare cases it could be transmitted and can cause minor symptoms. This is of course tested for and monitored, and current vaccine technology allows vaccines with a good safety profile.
That's my understanding as well, but as someone who tries their best to be a rational skeptic, I'm more than willing to reconsider my understanding given sufficient evidence (the key there being "sufficient"), so if such evidence exists I'd like to see it.