I understand what you are saying, but we have no precedent (to my knowledge, correct me if I'm wrong) of a dual-citizen player gaining eligibility for a country through playing for a team that doesn't actually play games in its home country. The Ararat players never played for Armenia, so we cannot use that as an example of players gaining eligibility.
Furthermore, when I refer to "some wealthy country" entering a team into a foreign competition, I was implying that that country would be doing so through the national ice hockey association. I apologize if that was unclear.
I still believe that what qualifies as the "location" of a team remains unclear. If we had an example of a player gaining eligibility in such a way, or the IIHF were to explicitly clarify on the situation, it would sort everything out quickly.
I wonder if someone at the IIHF would respond to an email from some chucklehead like myself.