Yes, exactly what every corrupt regime likes, people who don't need to be pushed around, but instead get out of the way of their own accord.

People like that invite tyranny upon themselves.

It wouldn't surprise me if that, in and of itself, was an identifier.

I find myself thinking of coin-flip experiments, where it's trivial to discern who ran some sort of legitimately random test, and who just made up Heads and Tails, because humans are terrible at approximating randomness.

The usual solution to that is automation. While it is obviously nontrivial to automate creating all the data of a normal human life, it's hardly impossible.