I think you've misunderstood the term 'petrodollar'. Petrodollars are the American currency in circulation abroad because we bought other people's oil (principally Saudi), not exported our own.

The 'export' that made the US powerful was finance and political manipulation - toppling socialist / populist leaders to install puppets and controlling economies by manipulating trade.

I think your original point kind of stands, though - we are seeing a decline and independence from our supply chain is going to be a deciding factor in 'who's the next top dog', but I think the decline is going to be a lot uglier than a simple "they have it now and we don't" - it's going to be all the thrashing about that an aggressive international power does when the grift no longer works.