After a lot of thinking, i just realized Elves and their Troll ancestors are affected and "tainted" or "forged" by all the six main powers listed in the first book of Chronicles. Check out:
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So High Elves are Arcane Elves, just like the Nightborne are and how Naga once were as well, before becoming corrupted.
Just like High Elves got the arcane sunwell the Highborne got the nightwell.
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After the events of the Burning Crusade, the Sunwell got purified with holy power and the holy power started infusing Blood Elves with holy magic, as we can see now in their holy colored eyes. These high elves, aka blood elves, are now tainted by holy energy.
On the other side there were other elves that heard the call of the void. the void elf introduction scenario explains what happened to them. They are now elves tainted by shadow energy.
So right now the only arcane tainted elves are night elf mages, nightborne and alliance high elves (the main reason of the high elf blue eyes). For that reason, i consider Alliance high Elves different from Blood Elves.
Focusing only on Night Elves, Nightborne and Quel'thalas Elves, here are the main magics that tainted them:
NATURE: Kaldorei (Night Elves)
ARCANE: Quel'dorei (Alliance High Elves) + Shal'dorei (Nightborne) + Highborne Kaldorei (Night Elf Mages)
HOLY: Sin'dorei (Blood Elves)
VOID: Ren'dorei (Void Elves)
NECROMANTIC: Undead Elves (Sylvanas, Undead High Elves, Dark Rangers, San'layn,...)
FEL (HOSTILE): Felborne + Felblood Elves