I agree with you, though I don't have as clear a view of the details of the US fiat money system as you obviously have.
If we consider the system as a black box, at the input, energy is supplied in return for the labor required to extract, so energy is only provided to anyone in the system in return for labor, or the promise of labor, in effect every promise to pay is a promise to extract.
Now add another input of energy donated, in return for no labor, no need to extract, and scale that second input up.
The only way that the energy input by donation can be represented by money is by issue of money for free within the black box, each token representing some Joules of donated energy recieved and put to use, to all people.
I guess everyone would choose to turn to free energy, rather than keeping on working for energy, given the choice.
Right now such free energy is being physically input to the system at the rate of tens of GigaJoules per second in every country, scaling up on a track which could be around tenfold in the next year or two. But no country has as yet issued any free money representing it.
That is quite a backlog of free money owed, to all people, it seems to me.
This is a solid explanation for the reason why inflation is happening, and won't stop until free money is issued, massive free money is needed to recover the value of currencies, according to the principals of Austrian Economics, which says all issue of money must be balanced with issue of product, because in the end it is the product which is the thing of value, not the money, I believe.
Solar product has to be one of the most valuable things we can imagine.
I would be interested to know your thoughts on this story:
https://eric-bott.medium.com/kardashev-money-is-the-future-8b8ad772772