This doesn't seem like a proof. It's a statistical argument? I'd tend to agree with the 'conclusion' (that all numbers collapse to 1 under the rules of the game) but I don't think its going to win any cash prizes.
Statistical arguments have already been around though. Everyone is pretty sure it never ends, that's already been agreed upon.
The question isn't "Does it look like it always go to 1?"
It’s not even a statistical argument. This doesn’t even make it to the part where there’s a fake proof. It’s just… a bunch of stuff.