Well, yeah, but it's the same way on the other side of the Curtain: Such as, France had its own nuclear weapons and was in complicated relationship with NATO, but it gets totally conflated into the Western bloc with no reservations. Same with neutral Sweden and even Finland.
I don’t know really how things are in the new members of EU, but Russia is indeed a twin of USA in everything, including the ignorance and isolation of political discourse. It doesn’t mean that because Russia has it, it is a good thing.
So I don't see any point to nitpick.