BTW, to be clear on my previous post here, the word you mention ie Shaytan is Arabic (islamic) from which the related word we use in english is satan.
In old & middle persian the concept of (negative/dark force/evil) & related word ‘satan’ is known as Ahriman or Angra Maynu (literally meaning ‘angry sphere/half or spirit’). Both ahriman & shaytan words are still very much in use in modern persian. But shaytan much more & commonly used by muslims.
Moreover, there is no concept of shaytan or ‘the peacock’ redeeming himself/itself hence worthy of worship, in zoroastrianism. I can only surmise it’s a pagan influence of sorts for Yazidis.
Zoroastrianism evolved over time and various groups split off partially, such as the Mithraists, Zurvanites and even Manichaens.
I think it’s entirely reasonable to place the Yazidis solidly in this group of Zoroastrian-offshoot religions. Heavily influenced of course by Islam and other, possibly even pre-Zoroastrian religious influences. There are obvious parallels to the religion taught by Mani.