It was in New Orleans in 1996 (before I joined the AHA so wasn't even aware of it), and I'm not aware of those sorts of issues happening. That being said, in my experience, the free availability of alcohol has not been a stumbling block in NHCs in the recent past. There was plenty of opportunity to over-imbibe even under the separation restrictions in SD. Under our current legal environment, it would be similar here in that restriction of serving commercial beer would become a little weird.
My comment was with tongue firmly in cheek. I would personally love to see it in NOLA, especially since it could do double duty being able to visit family.
How's the hotel situation? Having walked by, I'd guess the convention center is big enough, but I don't recall there being any huge hotels nearby.
The New Orleans Convention center is enormous. I was there in 2009 for a food industry conference with 50,000+ attendees and they used up the whole thing. AHA would only need half the hall or less. I know they can divide it up for multiple events, but they may charge a premium for that, which could stretch a non-profit like the AHA. I'd almost argue the NOCC might be too big. There may be a better venue in New Orleans for a crowd of 6000, rather than 50,000.
Looking at google maps there's several hotels within 2-3 blocks of the Center, certainly within walking distance. When I was there I stayed right on Canal Street which is less than a mile, and the border between the Convention District and French Quarter. It was walkable, but it was hot as blazes and I was wearing a suit and tie (job interview). In tshirt and shorts it would have been fine.