Being skeptical/critical isn't a skill, it's an attitude, a state of mind. An education that requires you to find your own information and sources manually breeds that state of mind. Giving LLMs to kids (or even adults) nurtures the opposite. It's like taking them to McDonald's every day and telling them to eat healthy. Yes there's a salad on the menu, but it's rarely going to be chosen.

Of course the reality that adults do trust AI uncritically because it's the path of least resistance means the traditional education I mentioned above wasn't sufficient. But that's all the more reason not to introduce a variable that makes things worse.