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Yet the NATIONS themselves claimed to be communist. ;)

No. The leaders may have sometimes claimed to be in a communist party and adhere to communist principles (which they weren't of course), but not a single state ever claimed to be communist.

Until the end, it was the Union of SOCIALIST Sowjet Republics.
East Germany was "Real Existing Socialism" (always mistrust people who claim something is real, because why do they have to emphazise it??)
Or look at China's SOCIALISM with Chinese characteristics.

Socialism is the prerequisite to communism. If a state considered itself communist, they would have surely put it in REALLY BIG LETTERS!!! in their name etc.

It is similar when people (mostly in the US) talk about "communist China" meaning Mao's time.
That was not communist China. It was not even socialist. As Mao himself said: His Great Leap will bring China 20 years faster towards socialism.
They were far away from socialism, how could they be in communism? That is impossible!

btw. most of the deaths under Mao were not because of the ideology but because of a misunderstanding of nature. They killed sparrows to protect crops, but those sparrows could no longer eat locusts, which then eat everything. This was the reason for the big hunger catastrophe, not "communistic mismanagement".

Something like that - even if you know how bad it is - happens everywhere today too. Our extensive farming causes so much erosion that in another 50 years there will be no fertile soil left, just to point to one devastating thing.