I don't have an issue with people changing countries or anything. But for a lot of these people (Paganini or Tursynbaeva) even if they've never lived there, they have citizenship.
I knew that Krasnozhon competed without American citizenship, but he lived in the US. I thought there might be a residency requirement, but I guess that wouldn't work for pairs and such. I just learned something new, I guess.
To become a citizen yes, there is a residency requirement that you live in the US for x amount of years (I think its like 5?), for Italy there is a 6 month requirement to live in Italy and then you get a visa before becoming a citizen and there is a waiting period between the visa and citizen; though this website mentions 'your specific circumstances' so I wonder if anyone knows if Italy makes special concessions for athletes that will allow Talalaikina to be able to compete at the Olympics this year (even if she can't - her career internationally was going nowhere in Russia, she just doesn't have the arsenal). Based on what I read on Armenia (someone correct me if I'm wrong, I'm just Google searching) - Gubanova with approval from the Armenian government can be given citizenship immediately as "Armenian citizenship can be awarded without any requirement to persons who have provided exceptional service to the Republic of Armenia." - I would guess that they can do her citizenship based on her being an Olympic hopeful for Armenia (possibly), there's also a shortcut if your parent is Armenian - not sure if this applies for Gubanova.
https://www.italiandualcitizenship.net/how-to-become-an-italian-citizen/
https://www.mfa.am/en/citizenship/
Of course it's not easy but if they love skating, which I assume they do, it's a better solution than becoming a couch when they're still not even 20 years old like so many others lately...

how are these guys so embarrassing