Perhaps we need an academic embassy to learn and establish proofs for such things. You’re right - it’s not possible for every UTXO holder today to prove they can move their coins.
Additionally - so much is conferred by the admission standard. The student can move Bitcoin - that’s pretty important.
But also the student can maintain a low enough time preference to devote to full-tome study - only a person in complete control of their time can do this.
Also, they will need some UTXO as raw material for learning.