If you cannot chew with your mouth closed and you are older than 6 years, you should not be allowed to vote, operate heavy machinery or have children.
There are people who have a genuine problem breathing fully through their nose though.
There’s a word for not being able to handle this: misophonia
It seems that for some people (myself included) it generates a primal urge.
Drag is never going to stop putting food that’s way too hot in drag’s mouth. Simpler solution is to just make it a faux pas to eat food in front of others. Like the aliens in Enterprise.