the petro-dollar has remained a staple of the entire world economic system
This is mythology too, an idea promoted by gold bugs as to why the USD have value.
The reality is the USD is strong because it has the most economic activity tied to it in the history of any currency in the world. It is also the core of the international banking and financial system.
There is roughly $8 billion in oil traded each day; there is $4.5T-$5T in funding through repo daily.
Math says the petrodollar is a total myth.