I believe Norway has similar rules, i.e you should be able to travel here from anywhere as long as you have some kind of residency.

As far as tourism is concerned, the government has divided European countries into two groups: traveling from "red" countries requires a mandatory quarantine upon entry, traveling from a "green" country does not mandate a quarantine. AFAIK all non-European countries are considered "red", meaning quarantine on entry.

I’m not OP, but in a similar situation and our problem isn’t that we can’t get to each other, it’s the quarantine requirements on either side. What used to be a quick weekend trip now means 4 weeks of quarantine.

For better and for worse in this moment of crisis the nation state is the organizational model we’ve got.

Sweden certainly handled it differently, despite having far fewer restrictions than most other countries. Individuals who had received a residence permit from Swedish authorities were denied entry into the country due to coronavirus related restrictions.[1]

[1] https://www.svt.se/nyheter/lokalt/stockholm/rajivs-fru-stopp... (Swedish)

Oh I know very well about Denmark, they're a shining example of how it should be done. Unfortunately I and a lot of people are unaffiliated with Denmark.