I don’t think it’s that easy. You get little feedback about traffic and getting an AI to accurately repeat your ad would be difficult, so this sort of SEO would be much less profitable. It’s too indirect.
Rather than being like advertising, maybe it would be more like PR where your target is journalists and it only indirectly reaches readers?
Well, I am using ChatGPT as a pocket keto nutritionist and it is recommending an actual product brands quite often. Not sure if this is intentional or just learned behavior.
SEO will just start to target AI's.. maybe even using AI's to target AI's. The next arms race may be AI vs AI.