This big paradigmatic change won't come overnight (too much knowledge went into common search engine technology), but I'm sure that AI will become an additional factor of scoring a site's value. Depending on the success of this method (it's still rather new), this factor will get more and more important.
This whole development is less based on classical AI research but on some seminal papers on neural networks and machine learning written by
this guy. And fear not, we are not just at the mercy of AI, we actually can use it, too. Today, already, AI systems are creating music and (even
pornographic) imagery. AI lets you answer questions like "what are my visitors are looking for and why" and "what set screw do I have to adjust for this or that effect". In the end, it's a matter of knowing how to do it, as it always is.