This trick reminds me of that game ten year old children play where one of them shoots the other with a "gun" and the child who was "hit" suddenly declares a new rule, "I have a forcefield!".

Meaning, you can't pinch or cut. So sphere eversion is obviously impossible...but the suddenly, "I can pass surfaces through one another!"

So I guess the game here is not in finding interesting solutions within a set of constraints (no pinching or cutting!) but in just making up arbitrary new rules when the problem becomes intractable?