Can Mlife or MyVegas offers be combined with Hyatt free nights?

I know that Mlife offers and/or MyVegas free nights cannot be booked back-to-back and require at least 72 hours between them.

What about Hyatt free nights, either via credit card promotions or use of Hyatt points? I suspect this would be allowed because they are completely separate programs. I also suspect that if I called to ask this question multiple times that I would receive conflicting responses. Hence, I'll pose the question to the experts here!