Tricking people into thinking you personally wrote an email written by AI seems like a bad idea.

Once people realize you're doing it, the best case is probably that people mostly ignore your emails (perhaps they'll have their own AI assistants handle them).

Perhaps people will be offended you can't be bothered to communicate with them personally.

(And people will realize it over time. Soon enough the AI will say something whacky that you don't catch, and then you'll have to own it one way or the other.)