I shoot a classic Walther PPQ (M1) with a trigger that allows double and triple tap firing easily and accurately. They have never had anything to say with that. My AR type rifles I usually fire single shits but have also fired off 2-3 round ‘burst’ shots without issues. I’ve been there before and have seems a couple guys do full mag dumps as well, though was told staff knew the person and their abilities. I have no desire to do full AR mag dumps myself. I’ve been in when the range was empty and requested permission to do some 10-15 round handgun rapid shooting and they were in fact fine with that. That said, the person I asked and a few other staff know me from past visits and conversations.
IMO their posted ‘no rapid fire’ sign is to keep control of things. There are tons of people with absolutely NO common sense at ranges and Shoiters Chiice is no exception.
They have no rules against AR Pistols in general however. Just act responsibly.