Until these systems can do better than "my training data is accurate up until 6 months ago" I doubt it. And even then, these systems will be trained from what?

Until these systems can do better than "my training data is accurate up until 6 months ago" I doubt it. And even then, these systems will be trained from what? Web content. So no, it won't kill the need to create websites, or search for them in the medium term.