You will not do maths casually until you have memorized enough multiplication to make it not torture. You will not pick up multiplication from using a calculator any more than you will pick up programming from using a computer.
> native speakers of a language will conjugate correctly without memorising
They do not. They have memorized, through massive, constant, and forced practice, and now they conjugate correctly. The alternative of consulting a computer every time they need to speak is not a realistic one.
The entire point of AI is to accommodate the user. AI doesn't do anything that people can't do, is worse at most of those things, but is a lot faster at some of them (basically looking up things.) The point of AI is natural language UI.
Teaching people how to use AI is just teaching people enough about the world to give them something to ask AI for.