How would it cost the taxpayer more? Can you explain? The money has already been spent, and it’s already being collected in the form of taxes on those individuals whom are now earning more thanks to education. Why would we need more taxes?
If you are trying to argue that the increased tax levied on the particular indebted people with a better education adds up to the exact amount they owed, someone would have to prove that. Additionally, this additional tax from better education was never intended by Congress, when the tax rate was calculated, to go to paying anyone's previous education debt. So other services (arguably benefitting the entire population) would have to be preempted to pay for it. Either way, you'd have someone else paying for the debt.