Similarly, with millions of people dying of cancer each year, there are going to be lots of people making highly unlikely miracle recoveries. If they didn't, that would be surprising.

That's saying it's surprising that nobody lives to the age of 150. Miracle cancer cures are statistical outliers and it would be interest to know the mechanism that allows them to happen.

This is an obvious contradiction: they're claiming a measurable effect on the world and then pretending that it can't possibly be measured.

It's no contraction if you believe in a clever god that doesn't want that the effect gets scientifically measured.