Snatching a sub ingame takes the HP from the opponent IIRC so it should take it from the original user.
As for chilling, based off my biased perspective I would say that chills shouldn't be snatchable as they take no energy; the pokemon is literally doing nothing, and you shouldn't be able to Snatch that.
As for chilling, based off my biased perspective I would say that chills shouldn't be snatchable as they take no energy; the pokemon is literally doing nothing, and you shouldn't be able to Snatch that.




