I swim in these circles and there's not much data to confidently say if that's true or not. I'd encourage you to note three (or rather six) groups by their path into, like, EU.
- Desperates. People who faced something they don't want for themselves in the Motherland and made sacrifices to leave the swamp asap and settle down on a foreign land.
- Privileged. People who didn't sacrifice anything by moving abroad, they can afford it, and probably used some easier ways to become a citizen of X country.
- Settled. People with some russian ties or sentimemtal feelings about a country they are safely distanced from, without a fear of deportation.
The percentage of those who love Putin, or rather of those completely unhinged, grows steadily from 1 to 2 and to 3.