An AI will only be worried about the things that it is programmed to worry about. We don't see our LLM's talking about climate change or silicon shortages, for example.
The well-being of the world and universe at large will certainly not be one of the prime directives that humans program into their AIs.
Personally I'd be more worried about an infinite-paperclips kind of situation where an AI maximizes efficiency at the cost of much else.