Why, when speaking intelligently and thoughtfully in the subject, is he so wrong in his assessment, when you, in one lazy sentence, are so right?

Obama is employing good old human exceptionalism and moving the goal post. A tried and true method of argumentation that has continued to fail for the last 50+ years when it comes to AI. "AI is good at X, but not Y" becomes "AI is good at X and Y, but not Z" the next year. Focus on a tiny niche that AI hasn't covered yet, while ignoring the pace at which AI is advancing. Wasn't too long ago that people where proclaiming that computers could never be creative. Nowadays that switched to "but it can't beat the human masters". Well, guess what? That did neither hold true for Chess nor Go and it won't work out for Bob Dylan music either. Be prepared for a future where AI is better at everything. It will come and much sooner than people expect.

It's also worth keeping in mind the quantity of AI generated content. I still hear tons of artists talk as if AI were competing with them on a level playing field. But in the time they finish one image, AI finished thousands or even millions. This is not just about AI replacing the human, but completely shifting how we deal with information in general. Something like ChatGPT isn't interesting because it can write better websites than a human, but because it completely bypasses the need to visit websites in the first place. You ask the AI and the AI delivers the answers. There is no intermediate step where knowledge needs to get dumped into a static website or a book.