Giving up on that is stupid, and would set society back. We need more companies and organisations doing it. AI has brought a few new startups into the search space, but yes, splitting the companies up may make more opportunities for them.
That said, if you can raise the capital you can get into search, because of opportunities presented by AI, and google has been sacrificing quality for optimising ad revenue. Email has also seen some startups making big leaps by adopting AI. I wouldn't touch video sharing platforms, or ad networks.