My theory: women can't afford to be wrong in the workplace, and AI is often wrong.
For example, I've had a man (a dear friend!) send me text to review about why he wasn't getting a raise. It was roughly in the ballpark but it was overly formal in some parts, and aggressive where it shouldn't be. I edited it with better language before he sent it to HR. He got the raise, and told me I was better than ChatGPT (no duh). Maybe he'd have gotten the raise with the original text, but I doubt I would have.