In that same interview with Phil Hersch it says Nagy was uncomfortable training in Russia after the war broke out, so split with Pavlova. I think that's understandable. Nobody knows how wars are going to develop, and Sochi is close to Ukraine. It was a disadvantage for Nagy to switch to US because now he has to support himself financially.There was only ever going to be just 1 Olympic spot for Hungary and Pavlova/Nagy finished 11th at Euros that year (which had 3 Russian teams), so there was every reason to believe they would have had a clear runway to the top 10 and higher had they stuck together. There was a lot of potential and while I don't dispute the known issues with the Hungarian fed, those seem to have been more related to the singles disciplines. They've always been supportive of Pavlova & their dance teams.
Seeing Pavlova's progress it does make one think of the "what if" scenario...