Zelda thing that has always bugged me...

When did Link stop being left-handed? I always thought, as a kid, that it was cool that he swung his sword southpaw. No idea why I care - I'm not even a lefty myself - but I remember it as being part of the lore of his character, and a little OCD part of myself is disappointed and annoyed every time a new Zelda game comes out and he's a righty. This bother anyone else?