The trouble of course is that this is only so (vaccine reaction more common than measles) because most children are immunised against it. Herd immunity prevents measles epidemics. It is important however that the child receiving the vaccinations is in good health and has adequate nutrition in order for their immune systems to learn the virus and respond properly.

If everyone relies on everyone else getting vaccinated then it won't work. What uses live viruses for vaccinations? I wasn't aware of any.