I have Russian work colleagues in a western European country. While they don't support Putin (at least not overtly) and don't like the level of power he has acquired, they seem to have an ingrained distrust of the "west", even though the "west" gave them permanent residence, social security, a means of living. They somehow still believe Putin's propaganda, claiming that they're not sure if bioweapons or labs really were found in Ukraine, or generally not trusting western news sources, while somehow still believing Russian ones.
So in my experience, a majority of Russians, even those living abroad, really are Putin's puppets.