Commonwealth = socialist state? Hmmmmm, mighty big stretch there. The label of 'commonwealth' dates back to the founding fathers.
It's rather obvious some people need a basic course in the origins of term "Commonwealth"
The English noun 'Commonwealth' dates originally from the fifteenth century.
The Commonwealth of England was the official name of the political unit that replaced the kingdoms of Scotland and England under the rule of Oliver Cromwell and his successors from 1649 to 1660. It formed the first republic in the English-speaking world, though this quickly devolved into a pseudo-monarchy.
Four states in the United States officially designate themselves "commonwealths": Kentucky, Massachusetts, Pennsylvania, and Virginia. In these cases, this is merely a name and has no constitutional impact. They thus emphasize that they have a "government based on the common consent of the people", instead of a government legitimized through their earlier Royal Colony status that was derived from the King of England.
The term also served when the six Australian colonies federated to form the Commonwealth of Australia in 1901.
When capitalised, (The) "Commonwealth" refers to the Commonwealth of Nations - formerly the "British Commonwealth" - a loose confederation of nations formerly members of the British Empire.