The petrodollar and the dollar's globalization seem like the tipping points.
If either of those substantially changes, the US budget to inflation link becomes very different, because there won't be external sinks to soak up extra dollars.
Globalization will change on glacial timescales. And the alternatives don't look great: Euro (economic concerns), yen (economic concerns), yuan (economic and political concerns), ruble (economic and political and sanctions concerns), rupee (maybe if SE Asia gets its economic integration in order), naira (would need scale from other major African economies)
Oil being sunset is going to be fascinating macroeconomically, as a huge part of the US' world economic power flows through Saudi Arabia.