Interesting. My wife and I both had MoviePass a few years ago, for about 18 months (haven't signed up again yet). We used it all the time, and one of the best perks were the AMC Stubs points; not only were the tickets free, we got a free drink every other movie we went to.
Most of the time the employees had no idea what the cards were, confused as to why I needed to run 2 tickets as individual transactions on separate cards. Maybe this was before it really became an issue for them? Are the policies about not giving rewards official?