I liken it to engineers who respond to the threat of AI making them obsolete with "Half my job is clarifying requirements and/or changes in priorities...can Copilot do that?" I think it's the same for UX/UI/Design.
I say that as a very vocal supporter of this latest generation of AI. Both personally and professionally it's upped my game significantly.
Per your suggestion, it would be logical that alongside our usual text-driven sites we have digital information repositories for AIs to query information rather than trying to glean it from the text-driven webpage. Google Knowledge and Siri Knowledge are both implementations of this idea, but I assume it will grow to something that is more general purpose, so any AI could access it. Then extend that to all manner of services, such as bookings, tickets, shopping, etc. That's where the real turtles are.
UX is going to get a shake up from AI. We're already seeing a bit of the new paradigm of on-demand UI/UX with Gemini (and the various me-too demos). Both Figma and Adobe are now vulnerable to disruption in this space. Adobe can use the time to ape Figma while flexing their rather good AI expertise.