It had its place in the 80s when looking up involved at least finding the right book. But that time was already on the way out in the 00s. My impression was more that education likes to ask for facts because they are easy to test for.
What you really want to teach are concepts and broad strokes. Nobody needs to know on which weekday the Soviet Union collapsed, but an understanding of the causes of the collapse is useful. Similarly, you don't need to know the speed of light to more than one digit of precision, but knowing the role of the speed of light as the speed at which information can travel through space is useful
That kind of knowledge also continues being useful in the age of AI. It allows you to see the connections in the world, and know which questions you even have to ask
For every fact you learn there is a necessary context and numerous exceptions when it's applied in other contexts. If you expect AI to spit all relevant facts at you every time you're clueless, you will have no idea when AI is wrong or lying. You will have to trust everything AI (or its owner) tells you.
It's not just math either. Try to be an electrician without memorizing the basic principles of electricity and how they interact. You're going to have a bad time.
By induction we can see how this scales upwards, basically infinitely, to higher and higher levels of thinking.
AI can really help the outcome part (by just doing it for you), so for better or worse I see that delinkage continuing.
People who bother to actually learn while using AI will have an edge on those shovel slop, but there’s clearly a difference from previous eras.