The machine's barometer reading here is that communism is less relevant in US politics than it was before the McCarthyism Red Scare. I would rather hear a different story that communism, defined as Marxism-Leninism, have larger political assets and followers after those 60 years. I highly doubted that.
As I am also in a minority fringe group (Baha'i Faith), I could clearly see this "statistical fluctuation" both in membership numbers, and conceptual understanding of the facts. (I could call it "number induced radicalization", that when a political or religious group is sufficiently small, the central limit theorem does not apply, thus the ideas inside the group are more radically distributed, even comparing to other peers inside the group)
Basically, the smaller your groups are, the less relevance is statistical history of your size. Unless you break some threshold and becomes significant minority. The CPUSA had its better days following the Great Depression, and in WWII when US and Soviets were allied. The haydays were over, unfortunately, with the triumph of McCarthyism.
I regard the statistics of my faith group with a grain of salt. I hope you also keep that in mind for your group's statistics. Do not try to extrapolate for the trend.
For Russia: in global politics, the multilateral development against the US-centric political hegemony, is not necessarily socialism. With China and Russia, two major players, are definitely not socialist. The trend against US hegemony can hardly be assessed as a socialist or even communist trend. We're now in a debating circles. Something against US is not always socialism or communism, and the burden of proof of socialist trend, lies on the very nature of China and Russia leaderships. So far, Putin keeps CPR at bay, using Soviet Union only as nationalistic symbol rather than a socialist symbol; and China, for obvious reason, is not socialistic either.
For China: The reservation you have is the exact dilemma I observed through the rise and fall of "left opposition" in People's Republic of China. I read through "Chinese Utopia" website through its rise and fall, which harbored unorthodox view of contemporary Chinese Communist Party ideologies. The dilemma is the Party by keeping "Communist" in its name greatly deprived left opposition of its ideological weapon of criticism. Basically, it is so hard to call a crusade against the Pope!
In these "left opposition" reviews, we could always trace a cliche. As the policies carried out are obviously capitalistic, however, the Party leadership will, magically, not condone the deviation of socialist roads, that it must be a conspiracy among a smaller cabal inside the Party who are "capitalist roaders". It is criticism of the Party's policies, but it doesn't dare to raise the flag of Maoism against the Party. Not only because of its political persecution consequences, but also the unwillingness for the left opposition to admit that the Party have indeed abandoned M-L. Nonetheless, the website was still shut down by Chinese government following the downfall of Bo Xilai, who was viewed as savior of the Party by the left oppositions. Oh man, the shattered dream!
Basically, there're four de jure commies: China, Cuba, Vietnam, Laos, only Cuba is also de facto; North Korea is de facto, but not de jure (de jure ideology is Juche replacing M-L in the 90s). How could this situation inspire any commie sympathizer thinking they're triumphing?