“They also liked the USSR.”
I don’t really see any evidence of that. “Back in the U.S.S.R.” is a sort of novelty song, bouncing off the old “Back in the U.S.A.” song. But it’s not pro-communist.
And Beatle albums were banned in the U.S.S.R. until their last album, Let it Be.
Isn’t there a line in the song that says “You don’t know how lucky you are”?