I don't think being arsey about it and bugging them will get me any decent good will on a discount I certainly wouldn't go out my way to help someone who doesn't wait their turn. Kicking up a stink less than 24 hours after they had it delivered seems silly.
Who said you need to be arsey? Simply acquiring whether they received it and asking for a timeline on fix/inspection to me, as a paying customer is more than exceptable.