I think these analogies are largely correct, but TFA is about something subtly different:

LLMs don't make it impossible to do anything yourself, but they make it economically impractical to do so. In other words, you'll have to largely provide both your own funding and your own motivation for your education, unless we can somehow restructure society quickly enough to substitute both.

With assembly, we arguably got lucky: It turns out that high-level programming languages still require all the rigorous thinking necessary to structure a programmer's mind in ways that transfer to many adjacent tasks.

It's of course possible that the same is true for using LLMs, but at least personally, something feels substantially different about them. They exercise my "people management" muscle much more than my "puzzle solving" one, and wherever we're going, we'll probably still need some puzzle solvers too.