So, essentially, it is commonly accepted that fully vaccinated children can contract the diseases they are vaccinated for, right?

If you look at older statistics, you will see how far diseases had already declined by the time a vaccine was introduced. Yes, measles is potentially deadly. However, in all my life, I have never even heard personally of anyone who died from it. Or any other childhood disease. Only read it in the papers. Now, if it were such a dangerous disease (which I had as a child, btw), surely, I should have met someone who knew someone who died of measles. But I never have. And I've literally traveled the world, so have met loads of people.

I, too, gave it a benefits outweigh the risks type of thing. And I arrived at the other end, lol.