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.
Most Russian-speakers in Germany (which aren't recent Ukrainian refugees) are in category 3 and there's definitely few Putin-fans among them. In a sense it's funny: Most came here directly after the fall of the USSR, passports are trivial to get for diaspora Germans from (ex-)communist countries, not all still spoke German -- and if they did probably some random-ass dialect that noone else understands. Long story short their collective identity was always more a mix of German and USSR than that of any particular republic because they came from all over the place, of course there were Putin-fans among the ones from current-day Russia but the rest set many many straight pretty much day one.
Also flying Z flags gets you straight-up arrested in Germany: Approval of crimes, to wit, a war of aggression.
Glad that it's like that. There are always some worrying news about the far right in Europe, but I'm glad the z-wastika isn't tolerated.
Offtop: What're most popular ways you know to get into Germany from one particular failed state and are they still availiable if you aren't that young and know only basics of the language? Asking for a friend.
If "not that young" means born before 1993 Spätaussiedler status might be an option. Only knowing basics of the language isn't an issue AFAIK especially if you've learned it as a native language, but tracing ancestry will be critical. I know very little about the process short of that it's quite bureaucratic, here's the government page on it.
Otherwise it's going to be regular migration which generally means high-skilled or high-demand jobs, or otherwise having money so that you can finance living here without having a working permit. Or refugee/asylum status and reasons for that not expiring before you are entitled to naturalise.
Of all these, having no germanese ancestors and no cash, I feel like high-skilled jobs is the most viable path. It's a bitch to prove I worth it and know stuff, but I guess I can try.
Is there some site to apply that way, probably with some additional educational programs, if I don't have a germanese employer wanting to take me?
Coming to study is possible but you'll have to have cash to support yourself, vocational training is also possible and you'd generally earn money while training so that's probably more approachable, if you already have an academic degree that's a definitive plus, for IT people three years of work experience counts as a degree for these purposes. For all that there's also the option to get a visa for the purpose of finding a job but you should definitely shop around beforehand otherwise that's just an expensive tourist visa. If you, say, already worked as electrician or lorry driver you might lack qualifications to work here but that kind of experience will still count for companies hiring you.
Plenty of them are middle class or lower. It's not that hard for a Russian citizen to get a work visa in the the EU.
And while half of them understand they are in the EU because Putin's ideology made Russia a shithole, despite having all the means to be a developed country, the other half suffers from a terminal case of cognitive dissonance.
I think its important to differentiate "many" from "majority". I've been to pro-Ukraine anti-Russia demonstrations and there were enough Russians there to convince me that the majority of Russians outside of Russia do not support the invasion. That being said, there are definitely plenty of idiots. In at least one case, I know someone who decided that despite not having lived there for 40 years, that now is the time to develop a sense of patriotism and return... it did not go well.
Source? I only have anecdotal reference, but all the Russian people i know hate Putin for what he has done to their home country. Independent from where i know them, some via work, some via friends and family.