Interesting, I interpreted that quote the opposite way!
I don't think what the AI said and Jim's video contradict each other. Jim didn't say the room doesn't impact the tone. Quite the opposite. His main point is that the room impacts the tone coming from the cab
so much, and so differently at every point in the room, that trying to account for all of it by dialing your tone so your cab sounds best to you wherever you might happen to be standing is a terrible way to do things, specifically because the room is going to make that sound so drastically different for everyone else in it. He goes on to say that instead, it's much more productive to concentrate on, and dial for, your mic'd tone, because that can be captured and redistributed, either through recording or PA, in a much more stable and uniform way. Dialing an amp so it sounds best through a mic means that everybody will hear something much closer to the best version of it instead of just you.
Of course the room impacts your tone, and of course the room impacts your
mic'd tone, so of course its importance cannot be overstated.