I have done this at least three times in the past few years. In my case, it happened when an evening flight was cancelled, leaving me stuck in a connecting city.

In each case, I called the plat line (way after check-in cancellation time) and explained my situation. They were able to change my reservation start date to the following day, so I was not charged for the first night.

On one of these occasions, it did cause some confusion when I checked in, but they were cool with it once I explained what happened and they did not charge me for the no-show night.

I know this does NOT fit the written policy, so I guess they were just being nice to me and I suppose that any individual property could refuse to go along with it, but that has been my experience to date.

And no, I did not get MR credit for the night that I missed.