This line of reasoning can be used, unmodified, to argue against essentially all of public education.

An educated populace is an inherent good. There’s nothing magic about the particular choice of K-12, and one could very convincingly argue that with the increasing complexity of modern life and increasing expectations from employers that ongoing adult education is also a net good, even when you’re not the recipient.

Ongoing education can also be vocational for those who aren’t inclined towards typical academia.

Cynically, one can also point to the current political administration of the U.S. (and the comparative education rates for its voters) as a case in point for why education is important.