Socialism means the state has social support networks, but largely works under capitalist rules
What you're describing is "social democracy" — capitalism with safety nets, where production is still controlled by owners rather than workers. "Socialism" explicitly implies worker control of production. "Nordic socialism" could more accurately be called "Nordic social democracy."
"Communism" refers to a classless, stateless society where everyone has what they need, no one is exploited or coerced, and there are no wars. It's an aspirational vision for the future, not something you can do right after a revolution when capitalism still rules the world.
Most of these articles cite the Black Book of Communism, which goes to absurd lengths to inflate the death toll of Communism, for example counting all the millions of nazi and soviet soldiers killed on the eastern front as victims of communism, counting the entire death toll of the Vietnam war, and even counting declining birth rates as deaths due to communism.
Noam Chomsky used the same methodology to argue that, according to Black Book logic, capitalism in India alone, from 1947–1979, could be blamed for more deaths than communism worldwide from 1917–1979.
https://web.archive.org/web/20160921084037/http://www.spectrezine.org/global/chomsky.htm