Big Al, obviously you are addressing my post. "Hitler has only got one ball" was written in 1939 and has had its role in war time, as I wrote. Therefore it is part of folk history. However, many singers nowadays use it as a token of personal pride, in the sense of "we won, therefore we are the best" – even if they never did anything to advance their society where and when they could.

In fact the Holocaust deniers you mention will take the message that the singers hate Hitler without giving good reasons, and are therefore opponents on par, morally. The same applies to primitive Putin-bashing. (Your own Putin song is different, and you know why.)

I concede that "Himmler / is very sim'lar" is a funny rhyme. The OP's poem is also above average in terms of rhyming quality, though not perfect.

A song cannot and must not be a lecture in political analysis, but good political songs at least state some reasons for their message. For example, one may mention that many Ukrainians who used to feel Russian to be their mother tongue definitely do not want to be liberated by Putin, and many of them now do their best to speak accent-free Ukrainian (as for example Zelenskyy and many other current leaders of the country; see Wikipedia).

There is of course no point in trying to convince Putin himself or those on his pay roll in many countries. But in prose and in song we can try to convince others who fell victim to his propaganda, and avoid reinforcing the propaganda by mirroring. For example, mentioning the NATO institution as if it were an active player actually plays into Putin's cards.

It is true that the Putin régime is not the only one to have an imperialist agenda, but that is no excuse for letting it pass.

How can we distinguish propaganda from facts? There are several techniques that help us. First of all, listen to statements by the actors carefully. If you don't understand the language, you can usually trust the subtitles in media with any claim to reliability. Here is an example – sounding as if it were "deep fake", but corroborated by many sources.