Since many high-paying jobs require K-12 education (or equivalent), I'd say yes it is worth the opportunity cost. degrees).
You are not accounting for the quarter million dollars and 20 000 hours that is spent on the child to get them to the point of earning that GED/high school diploma so they can get into higher education.
If you just invest the money, compound interest beats higher education:
https://www.thepoxbox.com/posts/the-true-cost-of-education
The point of this is to ask people: What if YOU had the money to spend, is that how you'd spend it? What else could you achieve with that?
Why....do you care so much? You don't have kids and are old enough that meaningful changes to the education system won't be realized in your working years.
@familyandfarming hit the nail on the head, and I personally don't think $13,000 is enough.
My wife's three youngest siblings have autism. The youngest (twins) are now 16 and will need lifelong care. They will never be able to live on their own. Your ethical views on educating kids who will never economically contribute to society aside, having been around them for so long has highlighted just how many people we have in modern society who need special education services.
In a free-for-all "best allocation of resources" system, these kids lose. Every time. Why spend time educating kids who will never be top-performers. People (like my wife's other sibling) who will be janitors and health aides because their disabilities prevent them from working as engineers or doctors.
These kids need orders of magnitude more attention than the rest. They often have a 1:1 or 1:2 student:teacher ratio, they often have their own classrooms, lunches, transportation, etc. The requires dedicated support from people who had to go to school for at least 4, and often 6 years to be able to successfully qualify to be educators for kids with special needs.
If these services were not publicly available, the options for my MIL, or the parents of no fewer than three of our oldest son's friends, or the hundreds of thousands of other kids with physical and intellectual disabilities would be severely limited. Nobody wants to create private schools for kids with special needs. It's a losing venture, almost every time. These kids are the ones that fall through the cracks when mandatory implementation of those programs is removed.
You know what else that $13,000 gets spent on? Free or reduced cost lunches for kids who are in food-insecure homes. Yes, right now many districts have this open to all kids, but you know what else that does? It removes the stigma from kids who must accept the subsidized food as social outcasts - when half their friends are taking the free option, they don't feel like the outliers.
Or how about transportation? How many dollars have to go to sprawling/rural districts where busses run dozens or hundreds of miles a day to bring kids to and from school?
Or what about infrastructure - how many schools right now are crumbling because districts don't have the funding to keep the lights, power, or HVAC functioning?
And you know what else I'm glad my money goes towards - paying the people who currently educate my kids. The people who are working on a daily basis to form a personal connection with each student in the classroom, putting in more time ten they're paid for, putting in their own cash to stock classrooms with supplies. The person who exists because she is far better equipped with patience and creativity than myself or my wife. I want her, her colleagues, and teachers across the board to be paid more. To have more access to leaves and time off. To not have to stock her classroom with basic supplies out of her own pocket.
Yours is a myopic, blindered view on a topic where you also don't have a firsthand perspective on how the current education system is actually treating kids.
ETA: Yes, I have engaged in whataboutism - but I feel it's warranted in the situation for the reason I cite directly above this sentence.