To clarify, mystic eyes are not completely a physical mutation or phenomenon. Meaning, you can’t just transplant somebody’s eyeballs and get their mystic eyes power, there is magecraft involved in transferring mystic eyes between people. Also, some mystic eyes are more complex than that. Ryougi Shiki’s Mystic Eyes of Death Perception are a manifestation of her direct connection to The Root, and likely could not be transferred to anyone else, even via means such as featured in Case Files. Also, some mystic eyes can function similarly to clairvoyance, such as Miyamoto Musashi’s Heavenly Eyes, or Ophelia’s Mystic Eyes of Precognition, both of which are capable of perceiving possible futures and choosing one that best suits the user (though this is not necessarily a conscious choice).
In short, mystic eyes aren’t always easily categorized, other than that they are supernatural powers that generally manifest some connection to the eyes or vision in general.