None of my such-invited Swedish relatives work against the government in any form -- none of them are anti-monarchists like myself -- but the few invited to foreign meet-ups with their birthright head-of-state do not have a work history for or with the Swedish government in any official employment or contractor relationship as far as I know.

The invitations seem way more likely when you are registered as a local resident with the local embassy in a far-off country that is not home to many of your fellow citizens and you happen to have a rather established public history in the locality; but that doesn't explain it as much as being registered with the embassy in a locality with few if any of your fellow citizens there.

Each country is a bit different. The more elitist or paranoid your country's average ambassadors tend to be (or are encouraged to be), or the less generally egalitarian your home country's society, then the less likely a local resident expat will get an invitation to such kind of events with officials (unless connected with the government/government figures running the local show, in charge of the local show, or a beneficiary of governmental assistance). The more fellow expats of your country there are in a host country, the less likely an invitation all other things being equal.