A few years ago I remember getting an invite for Hyatt Platinum when I hit Gold status the first time with AA. I never made use of it unfortunately as I rarely stayed at Hyatt properties that year.

I wonder what determines the selection criteria. Given the response from some of the folks on this thread, it almost seems somewhat random. I suppose as long as you have a card with a particular hotel brand that is partnered with AA in some way you can be eligible for the bump.