When I first played Ocarina, I used my own name, in order to create my own file on my cousin's N64. Nowadays, in any Zelda game, I use my Elvish name.
Yes, Elvish. As in Sindarin or Quenya- Lord of the Rings Elvish. Yes, I can speak some Sindarin.
Anyway, that's always for my first playthrough. On my second, I choose to use "Link", just to see what it feels like to actually play as Link. And yes, there is a difference.