Was not able to duplicate your results on a few properties I tried, but did see a typical Hyatt web site 'glitch' where the rate at HR NO showed lower on the initial listing of New Orleans properties ($87.20) but then when I clicked thru to that specific hotel for room types available it jumped up to $98.10. However, no difference in the $98.10 daily rate or the AAA rate whether I was logged in or not.
But, like others, I wouldn't be surprised if this did happen on occasion. Wonder if the best rate guarantee applies against their own web site? ;-)