I got my PhD out of spite. And I'm going to publish my book out of spite, and then I'm going to edit a Wikipedia page out of spite.
I have a hot take.
Getting a PhD has nothing to do with intelligence (if intelligence is even a thing), so "PhD levels of intelligence" is meaningless.
Getting a PhD is about tenacity + curiosity, two things LLMs don't have even if you accept they are anthropomorphic.