Except for also being an artifact, Phyrexian Metamorph copies exactly what was printed on the original permanent and nothing more (unless that creature is itself copying something or is a token; see below). It doesn't copy whether that permanent is tapped or untapped, whether it has any counters on it or Auras attached to it, or any noncopy effects that have changed its power, toughness, types, color, and so on.