It can definitely handle virtual workspaces and global state (if I'm understanding what you mean). I have an Aerospace-like implementation here: https://github.com/mybuddymichael/Helm.spoon

It has several features from Aerospace, but Hammerspoon's window management performance is not nearly as good as Aerospace's (not surprising!).

Overall, I've found it easier to just fork Aerospace and add various extra features to it, so that's what I'm doing now.