https://en.wikipedia.org/wiki/Demonizing_the_enemy#Personifi...
This has always been a standard operation model for the US:
https://en.wikipedia.org/wiki/Psychological_operations_(Unit...
So yes, Putin's Russia is used intentionally to introduce the same feeling as Hitler's Germany. That's the way how Biden's USA works, supported by Ursula von der Layens EU, Stoltenberg's NATO and their minions.
Would Bush's USA, Clinton's USA, Nixon's USA, Obama's USA or POTUS X' USA work better? Because each one of the US presidents except Trump and Biden (give him some more time) is directly or indirectly responsible for more killing around the world than Putin would ever be. Hundreds of thousands (in case of some presidents even millions) people have been murdered on their direct command. Even if "Putin's Russia" is really responsible for everything that US / NATO propaganda accuses them, they still have a long way to go to reach this levels of atrocities and destruction.
And while you could certainly argue that for example Bush plunged his country into an unnecessary war to feed his pride, you're arguing that he's not that much of a break from his predecessors. And the American people as a whole definitely carry more of that responsibility. That's still a reason to call out Putin specifically, instead of the country as a whole.
It's Putin's Russia because Russia does what Putin wants.
Biden wants a lot of things for America but both the legislature and the courts are stopping that. So in that sense it is America's America.
As many people have pointed out, comparisons to Hitler's conquests at the start of WW2 are not unjustified; Putin is using much of the same rhetoric that Hitler used. His state media is actively discussing the need for genocide. Those "same feelings as Hitler's Germany" are because the facts are far too similar.
I don't think we have enough data to say this confidently. Putin enjoys a very broad base of support
This, along with Russia’s notoriously pervasive secret police and domestic surveillance may have something to do why even “anonymous” polling of Russia finds fairly small numbers of people willing to say they don't support the regime wholeheartedly, independent of actual sentiment.