I think every AI company is missing the forest for the trees here.
People yearn for a search engine like how Google was back in the early 2000s. But this is impossible today because SEO ruined it. Now we have all these AI companies delivering quick answers to questions, but this is not search.
OpenAI or anyone else should leverage AI to show search results in a list like they used to be. Specifically, use the AI to select the top 10, 20, 100, or whatever web sites with the information you are seeking, display them in a list, with a little blurb quoting and excerpting relevant info from each link. This way, it could filter out the SEO garbage, direct the user to the info they are seeking, but still provide a semblance of control and choice by showing it in a list format instead of just a robo-answer to a question.