This is an embellishment. Zoroaster means 'seed of Aster,' the harlot wife of Nimrod, or in other words Tammuz (or Osiris if you prefer). This is the basis of all pagan worship throughout history; The 'goddess and god' of nature worship.
No 'star' is mentioned in the word; it says that they saw his sign, which is the shekinah. No mystery, no astrology, no magic. So simple that the world hates it.
Amen!