It doesn't actually require extra physical printed money? Have you heard of "petrodollar recycling?"
The money can come from a shift in the debt/savings profile, in the reallocation of business investment, or a shift in the demand for speculative assets. It's not really a coincidence that as the fuel price has gone up the gold price has gone down not up: https://goldprice.org/gold-price-history.html
There's a big spike around 2020 for inflation fears, but the gold price doesn't track the price level numbers in ways that hard money fans want it to.
> A demand for zero inflation is a demand that $1 now and $1 in a decade should buy you the same amount of gas, which .. will not continue forever.
Gas prices do not cause extra money to be printed.