I think speed would be irrelevant, or perhaps would discourage deep engagement with the problems.
I think presenting it as AI can be wrong is not as valuable as presenting it as developing the ability to question what one is told. (e.g. Verizon Math)
indeed I agree with you however studies have shown that kids have access to interfaces to chat with an LLM from a young age, and the traction this technology is taking is increasing. Indeed verizon math seems more whole when it comes to topic variety.