I think It very simply boils down to property and contract.
Your signature (or promise) creates money. When you enter into a contract you convey title to a negotiable instrument containing your signature which represents your promise to pay and receive title to something in exchange.
When you contract with the U.S. banking monopoly cartel and sign a loan at the bank you do not receive title to anything. You receive private credit.
The problem in the U.S. is not really the banking cartel. The problem is not really the monopoly of the banking cartel. The problem is the monopoly of legal tender and government requires you to pay all debts in federal reserve notes or u.s. coins. It is very easy for people to barter exchange using something other than government property. It is impossible to pay property taxes, etc. in anything other than government property. When bartering it is easy to appoint a third party arbitrator both parties agree to settle disputes outside of the courts. But when paying alleged government debt the only arbitrator available is the courts which only recognize legal tender.
In my opinion the theory of money as debt when using the banking cartel is correct because if you go to a bank and create money with your signature you receive title to nothing in return.
However if you go to a used car dealer and sign a note in exchange for a car title is conveyed. The dealer has title to a negotiable interest secured by the real property in the event of a default which has real value. You received a car which has real value.
I think it is easy to concede the point that when doing business with the banking cartel it is arguably debt but money is not always debt.