That is most definitely not the case, same crew, we were late getting in and by the time we deplaned it was 3am and the flight was 6am. Instead of going to the hotel, I was going to get them Coffee and Krispy Kreme donuts but the TSA thing was closed and no one knew how we could possibly get back in. I am sure there is a way for gate agents and baggage people etc, but we didn't know, so they took the van to the hotel and I brought the donuts there, they didn't even take their stuff off the plane. They ate donuts, drank coffee and went right back to the airport.

This happened several other times I know of, especially when we first started getting mainline planes and it was only like once or twice a week. Now that we have mainline planes daily, it doesn't happen anymore

None of this matters for the OP though as his plane was 99% Mesa from IAH. Mesa should have crews there in hotels from previous flights