The calculator analogy is wrong for the same reason. Knowing and internalizing arithmetic, algebra, and the shape of curves, etc. are mathematical rungs to get to higher mathematics and becoming a mathematician or physicist. You can't plug-and-chug your way there with a calculator and no understanding.

The people who make the calculator analogy are already victims of the missing rung problem and they aren't even able to comprehend what they're lacking. That's where the future of LLM overuse will take us.