CEV isn't just about your values changing by self-reflection. It's about your values changing as you become the person you wish you were. Humanity has reached the peak for self-reflection long ago (though I believe it still advances a little due to a growing understanding of the universe), but we have done nothing about human nature.

Your evidence against CEV is flawed, though you still correctly point out the lack of evidence for it. I doubt we would all end up in the same place, and it's likely that one person could end up in two very different places just by chance. What I'd do is define CEV as the average of what happens.

Also, you say that we are going further from an equilibrium, rather than just not moving to it. How does that work? Are you implying we were at an unstable equilibrium to begin with?

The world is not in equilibrium, and hopefully never will be.

What's wrong with equilibrium?