Earlier quoted context omitted.
I don't entirely disagree but I think a slightly better framing is: It's not their fault, but it is their responsibility. Putin is a problem for the world, and it's a problem that can only be properly solved by the Russian people. Unfortunately, that means whether they deserve it or not, they are the group to whom pressure needs to be applied.
I am a Russian citizen. How it is my responsibility? I never supported Putin and hate him as much as anyone. They destroyed Moscow over the last 20 years, gave up on Russians left in former ex-USSR countries, created a separate society of asian immigrants, muted all opposition. How am I responsible? Should I buy a tank of gazoline and go burn Kremlin? Then what? Is every european responsible for not stopping NATO in…
He might mean that since you live there, you have better chances to do something about Putin, than people outside. And you might know more about what makes sense or not.
Just as if you're inside a house burning down, you're in a better position to do something about it (say, saving a kid who had hid in a closet), that someone far away.
Although none of it was your fault