For the first idea, the only way we can have moving while eating is if it's more like a "scoot," as movement while in the eating state would break a buncha things...
We can have challenge modes, but inedible enemies will always be inedible. This is for modder and player comfort. As some modded enemies are pred-only type characters.
We can probably buff the blue flame item to increase stun time as well, to make it more valuable.