It's completely explicit, really. You linked these in Russian so I assume you can read it - it's in his wikipedia page - bring it up, hit 'find' and type the keyword. It's discussed at length in 'От двух до пяти'. He got in (comparatively slight) trouble for the lack of ideology in the poetry you quoted. Why? Exactly because ideological concerns were prevalent in Soviet literature at the time.
Please don't read this as a claim that the policy was not actually successful (which I don't know whether is true or not).
Many of us know what terrorists born in the 1950's did, but somehow we all miss the fact that they all belong to the same generation. Weird, eh?
A lot of people think they know who Vladimir Putin (1952) is, but how many of them are aware that twenty years ago Putin was involved in the Chechnya war?
The article doesn't make such a claim, but it also doesn't make a contrary, leaving it to the structure, which feels questionable.
I'm sorry for your main counterargument graying, because it actually clears the "dark" side of my notice. That said, I'm not ready to simply close my eyes on the rhetorical curve I found. Chukovsky was very popular (even iconic), but propaganda wasn't so. I definitely read several books filled with invasive ideology, but can't tell that it was a big influence or someone can cite these from memory. Personally I'm not very old though, SU ended short after I went to school.