I think that our main disagreement comes between your opinion that inflation creates garbage output, and my opinion that inflation has little to do with garbage output, but the problem is in management supervision and corruption.
Perhaps there are two disagreements here:
1. Is a mildly-inflating currency better or worse than a fixed-supply currency?
2. It is possible to inflate a currency without having to trust a central planner?
The answer to #2 is "YES". If you modify bitcoin to have a constant % block reward then what you get is a forever-inflating currency. But if this were the case, we would also
know for a fact that the freshly-printed money would go
entirely to garbage output (miners will simply consume electricity [natural resources] faster than is required to secure the network).
So, to have any hope of
not wasting the extra money inflation, you must argue that the central planner is not only wiser than the free-market, but
vastly wiser to turn a net waste into a net gain. This is a tenable position in my opinion, and I think the answer to #1 is "WORSE."
Hmm, maybe we can put this into a theorem. Still half-baked, but here's a start:
Peter R's Theorem on Monetary Inflation for Fully-Adopted CurrenciesMoney created by a trustless currency by way of inflation goes entirely to exploiting natural resources. Corollary #1An inflating currency that is not provably inferior
to its fixed-supply equivalent requires trust in a central planner. Corollary #2An inflating currency is superior to its fixed-supply equivalent if and only if the unproveable efficiencies made possible by the wisdom of the central planners outweighs the loss of monetary freedom that placing trust in central planners entails.