ChatGPT answers in two modes, and they reward different things. When it answers from its training alone, what counted was being described widely and consistently across the web it learned from, so the model already associates your name with the category. When it runs a live search, it retrieves pages from the open web, relies heavily on its search partner's index, synthesises an answer and cites a handful of sources.
In both modes the same qualities win: a page that answers the question directly, authority and sources behind it, and an entity clear enough that the engine is confident the match is you and not a similarly named company.
