Did Elves Use Magic?

[Galadriel55]

In my opinion, the "magic" that elves and wizards and Nazguls do really isn't magic - more like the willpower of the person put into words and actions. Galadriel says that with her will she can ake the mirror show whatever she wants, but hobbits would call the mirror magic. Melian, with her thought and will, made the "wall" around Doriath. Morgoth kept Hurin glued to the seat in Thangorodrim with his will. I thinkt that the incantations really are just a way of expressing everything. The words don't really matter. If, lets say, Pippin tried to light a fire with "Anun on adriath ammin" he won't succeed, not because he's not a wizard, but because he lacks the inner power behind the words.
Even today, in the real world, very "talented" people can do physical actions with thoughts or read minds or that sort of thing.

PS: Melon isn't an incantation, it's a password, so it doesn't matter who says it.