Here is the major point where your argument falls apart.
Also, as Parker pointed out in his Tweet, canceling $10,000 per student loan borrower does not erase the debt. It simply transfers it from the balance sheet of college graduates to the balance sheet of the government (taxpayers.)
Conflating taxpayers with the government's balance sheet is at the root of most of our nation's economic problems, but keep on thinking in the language of the oligarchs/opposition. Your banker probably loves you.
There is a "very" distinct line separating the government and private sectors and if you don't understand sectoral spreadsheet accounting you should probably refrain from forming opinions about economic issues. Debt that originates from the currency-issuing government becomes someone's monetary asset in the private sector. Debt that originates from the private sector is always less than zero-sum because it carries an interest obligation. It also must be retired using money that originated in the government sector.