So, I've been strolling across Fate-Pages here and I found that nearly none of the Servants is noted to have Concept anything. It is, however, noted many times that in varying terms that NPs are Crystalizations of Myths/Ideas. They symbolize the Lore of a Character, which is Concept Manipulation. Or at least a conceptual attack with NP.
And some servants do not even exist in the first place/ were changed when their definition changed. Note here Vlad and Jack the Ripper.
So I would like the add "Conceptual" to Noble Phantasms, since they are very much noted to be just that. I believe it is first mentioned in F/SN when Lancer activates his NP, if that helps.
Enuma Elish (The Star of Creation That Split Heaven and Earth)
Gilgamesh's final Noble Phantasm which reveals creation--the beginning of everything. The severing of space which comes from the Sword of Rupture, Ea, the sword crowned with the name of a god from Mesopotamian mythology. The god, Ea, is believed to be the quasi-deification of the power of the planet which turned, smashed, and stabilized the surface of the earth when it was still covered in gas and seas of magma, during the primordial stage of the earth. Many gods began building nations after the the primordial earth was stabilized into a world where living creatures could live, but Ea is a god who performed the act of building of planet before that. Gilgamesh's sword, which is crowned with Ea's name, changes space itself by agitating space-time through the rotation of three layers of giant power fields. It's true power is not something to be used against a single living creature but against the world. Even among the many Noble Phantasms possessed by Servants, it is one considered to be at the top, the sword "which tore apart the world." - Gilgamesh Matrix
Ea Reverts things to how the were before the planet was fully formed, Destruction Before Genesis, if you will. Ea destroys by returning the world to how it was before its target was ever made, before anything way made. If an Origin is what enters The World and the basis for that things creation, then Ea reverting things to how they were before you were made would erase your origin. Make sense?
The way I interpritted it was creating or reverting the world via splitting and distorting space to, as Gil calls it, “the hellish planet before genesis”. Since it is calling back the world before anything was created, no origins had entered the world. Thus Erased
Because the things caught within that primodial world are erased, via becoming that world before anything existed. Thus, if they never existed then their origin never entered the world, and would be erased