If argue that if you were ever asked to show your work, you were writing the equivalent of a mathematical essay. Maybe you never had to learn proofs, but I did.
“I didn’t have to do that and I turned out fine” isn’t a very rigorous pedagogy.
Sure, but now we're stretching the definition of "essay" past what's useful for the topic at hand. This is a thread about AI checkers for essays, not math proofs.
And no, it isn't rigorous, but it's a pretty good hint that you've got correlation and not causation. Perhaps it's worth entertaining the possibility there's a better way.
“I didn’t have to do that and I turned out fine” isn’t a very rigorous pedagogy.