I do think that the development of currency is intimately connected with the development of government. The core problem government solves is dispute resolution, and I would bet that the majority of disputes come from transaction where one side does not hold up their end of the bargain. In small communities you just have the tribal elders adjudicate, but as you start doing more currency transactions between mutually-distrusting groups that can't agree on their authority figures, you need a system in place for dispute resolution. Cue states.
My point is simply that currency comes first. State formation is a consequence of extended trade networks transacting with currency, currency and trade is not a consequence of state formation. To my knowledge this is historically accurate, and there are a lot of examples of currency spontaneously arising without a state to back it.
Hell, cryptocurrency itself is a good example. We now have a viable transnational, trustless, instantaneous currency. We do not have a viable transnational trustless dispute resolution process. And we very much feel the lack, because crime and fraud is rampant in cryptocurrency transactions. Currency creates the problem that government solves. Creating a government that can go along with cryptocurrency is an unsolved exercise left to the reader.