This isn't showing to be true despite proliferation over the last twenty years. Most kids don't want anything to do with programming because to most kids, it's a lot like doing math all day. Even as programmers become more enabled to solve more problems, the pace of problems being created is far outstripping the human race's ability to create (or inspire, whatever) programmers to solve those problems. I am willing to put a paycheck on a bet that no sane, knowledgeable person will ever be able to say that "we have enough programmers in the world".
When the "boring" parts of programming can be automated, so can the "fun" parts, and AI will have "taken our jobs" just like they did down at the toothpaste factory. I'm not concerned about that. When it happens, that's fine by me. I have other skills to fall back on.
It won't happen all at once. There will be a long process of elimination of more and more layers, leaving more and more developers available for the work on the less automatable (more fuzzy and chaotic) side of spectrum. It will take years. At the end all of them will go home and do something else, of course.
