The communist bit refers to the CCP, the Chinese Communist Party. Neither communists or socialists are canceled, there is no limit. People who go too far right are canceled.
CCP has "communist" in the name, but this is more of a historical artifact than anything.
Rule of thumb with political parties and countries is that their actual names have little to do with reality -- witness all of the dictatorships that have had "Democratic" in their names over the years.
Democratic Republic of the Congo springs to mind. And of course North Korea, officially the Democratic People's Republic of Korea (lol)
