It is an interesting question. Although, you do have to differentiate between learning skills and an actual education, which I take to be an improvement in critical thinking and general overall awareness.

I still think there would be interesting problems to solve, even in a perfectly educated society. I don't want to be a brain surgeon, or any surgeon, or anything really in the medical field. There is a theory that some people are "naturally inclined" to certain tasks and maybe we could realize that and have a society that allows everyone to specialize in that...

The problem is that natural inclination doesn't always line up with demand.

Many people may want to be a professional beer taster, but we don't need very many of them.

That's what we call a high-quality problem. The more pressing challenge is how do you get low performers to the point where they could capably manage an airport Chili's. The reality is that it's difficult for people in many blue collar industries to find workers who will show up to work, take direction, etc. The book Hillbilly Elegy documents this phenomena in the Rust Belt. Not sure how big a part of the problem this is, but I've heard this story dozens of times from family who own contracting businesses, low-skill manufacturing ops, etc.

People only have trouble finding others to honestly help them when they can't honestly share the rewards of the work. Slaves will always rebel in any way possible.