That's a very valid rebuttal to my comment. I think this kind of "force multiplier" use for AI is the most effective one we have right now; I've noticed the same thing with GPT-4 for programming. I know the code well enough to double check the output, but AI can still save time in writing it, or sometimes come up with a strategy that I may not have.
Maybe the fact that you did the dictation together with your child present is also notable. Even though you used the AI, you were still doing an activity together and they see you doing it for them.