When Omega offers to double our utility, we think that means something we experience, and we don't experience the abstract utility of the entire planet. I believe that this distinction gets confused, leading to this post feeling contrary to intuition.

Actually, if you think of the paradox below in these terms, as being one where you're offered vague, unmeasurable rewards, it ceases to be a paradox. It's only a paradox because we've abstracted those confusing issues away.

It is a puzzle that is meant to get at the question of whether our mathematical models of rationality are correct. If you're not talking about mathematical models, you're having a different conversation.