>Not all writing is about the actual writing part, but mostly about comprehension, essay format, and proper citations.

Writing an ESSAY, which I believe is this context, is an exercise in sourcing, reading comprehension, critical thinking, grammar, spelling, sentence structure, document process, among other things.

>It’s like math, some might question why use a calculator for math, but it’s not about working math out by hand it’s about learning how to solve the problems.

We work out math problems by hand in order to learn the operations and sequences, exercise the computation, practice the writing of symbols, translate problems to rigor, among other things.

Admittedly, it's not about the hand eye coordination and fine motor skills. I will presume are not talking about that.

Quoting chatgpt would arguably, to lesser and more degrees, depending on the nature of the essay or curriculum, circumvent many of these skills which are learned in conjunction, by writing essays (and doing math).