I have a few thoughts here:
Moore will have his own vision for not just quarterback but this roster in general. Loomis even said in his last presser that our new coach would make the decision at QB. They aren't going to support him in cutting ties, knowing that the likelihood of a very bad season is high, only to can him. They're going to give him time to rebuild this thing.
Regarding fans and what sells, I think its obvious that Carrs personality does not vibe with this city and this teams fans whatsoever. I think most will be happy to be rebuilding to something sustainable, and what likely will be a top 3 pick in the draft if it is indeed as bad as you think it will be, as opposed to a likely average season that we would get with Carr.
Last, it'll be Arch Mannings first year of draft eligibility. If simultaneously Arch is balling out at Texas and the Saints are tracking toward pick 1, there will be serious fan hype even with losses. You know who would be good for business? Arch Manning. That's obviously a pipe dream, I'm using him as an extreme example, but even if it's another QB creating waves in CFB, fans will be paying attention and excited about that if we are in fact losing. What's bad for business is a losing season like we faced last few seasons (weak division, but a roster good enough to win it but can't get out of our own way); a losing season when it's evident that we are rebuilding isn't what you're painting it to be, IMO.