While giving evidence at the trial of Stephen Ward, Rice-Davies made the quip for which she is most remembered. When the prosecuting counsel pointed out that Lord Astor denied having an affair or having even met her, she replied, "Well, he would, wouldn't he?" (from Wikipedia).
Hence, "MRD applies" means "he would say that, wouldn't he". Usually used to devalue an opinion by drawing attention to the other-than-impartial situation of the person voicing it.
I think this is a silly idea, myself, but then, I’m a state regulator, so MRD applies.
An establishment where people are forced to wait long periods of time to be granted the right to order mediocre food with ridiculous names and overpriced drinks.
"Let's go to Applebees after work. I feel like drowing my sorrows in a martini made by an 18 year old bartender. Hurry! If we get there by 5, we might be able to drink by 7!"