Here is my view - for what it is worth:

If we recognise that governments will always exist, the phrase "separate money and state" would imply the state becomes a user of the currency that everyone else uses, rather than be the issuer of the currency everyone else uses.

The distinction is important. I don't see the US ( as the dominant state ) doing this unless they have to. Others would do it first. IMO there will be an extended period where both exist, or even a scenario where they both always exist.