What a silly plan. Consider the reverse situation. You are a US citizen, and your phone randomly rings. On the other line, there is a guy speaking English with a heavy russian accent: "Hello. I call from Russia. This website I find ask me to call and inform you of real happenings in Ukraine. Your media full of lies. Trust me. Look. I have pen." Yeah I can totally see Americans taking up arms against their government…
I think we should ask some marketing genius on how to approach this one. Robo-calling and having a recording say "the people are stronger than Putin", or something like that, could have an impact if people hear it often enough.
The best counter is to make the Kremlin have to guess if you're Z is secretly counter-support or actual support for their 'narrative' of what 'Z' stands for.