Bitcoin is incapable of being either socialist, or capitalist. It is a monetary system, not an economic system.
Bitcoin is not Socialist or Capitalist indeed but creation of bitcoins & producing blocks is a form of production which uses some type of economic system. PoW is Communist type system.
That is quite the stretch. If it was called Proof of Comoutation would you still call it a communist system? I think you are looking at the word work wrong.
