What's a popular myth? That oil, still the strategic commodity worldwide, plays a large role in the USA's security relationships and use of the USD is, written or unwritten, a tacit part of those relationships?
That's completely wrong and you have a lot of reading to do to understand the entire post-WWII geopolitical order. Oil is receding yes, but it's still critical and you can't understand anything about the postwar security order - which is very closely tied to the rise of the USD - until you understand that.
I mean, the Nimitz is in the Persian Gulf right now keeping the sea lanes open for their client states in the region. That's the USA's part of the deal right there.