I see that your answer to my question is YES. Fine by me.
FWIW - I finsihed algebra, geometry, trigonometry, calculus I and II, chemistry and physics by the time I was 16. I turn 45 next week and not a single one of those subjects ever helped me earn a living.
The purpose of cultivating Intellect is not to earn a living, although this is often a desirable byproduct of education.
When ancient Greeks were learning and researching geometry and astronomy, it didn't contribute to commerce either. Two thousand years later, it made it possible to navigate ships across the oceans and led to Kepler's and Newton's discoveries of laws of motion.
It is very frustrating that the general public (that includes our congressmen and senators) thinks the purpose of education is to teach people skills (as in vocational education) instead of teaching them how to think.
By the way, I recently had to install a round mirror in a narrow corner. To determine where I need to drill holes, I used trigonometry.