There’s a Stardew Valley joke here somewhere

No, we have crushing dystopian sadness at home.

I’m not sure about actual functional definitions, but I think of it based on the size of the various cities involved. Metro seems to be used when referring to relatively large cities and towns that have blurred together to the point you move between them without distinct separation. Whereas Greater is applied when there is still a more clear separation between the core “big city” and the suburban towns around it.

I was initially thinking Huginn, but it doesn’t seem to have as much activity around it. You like it, plenty of flexibility?