*I myself am several legal persons. I have several fictitious
  names I go under for business purposes. As far as the outside
  world is concerned, these are REAL people that aren't me.

  But they're still me. Or me and my brother. Or Me and the
  Fictitious Name making up another fictitious name.

  All different people. Yet they're all me.*

  I didn't opt for LLC or Corp because I just do simple stuff and
  accept full responsibility for my actions and the actions of my
  brother and sister-in-law and anybody that we hire. "It's not
  me, it's the COMPANY!" to me, is a bunch of nonsense.   They
  _appear_ to be thinking entities and we treat them EXACTLY as
  you described, but they're ultimately a legal fiction.
  You've described the apparition of the Corporate Person
  perfectly though, as well as its function. Still a ghost to me,
  but very real to very many people.*smile emoticon