Well, something that opposes the fact that he's OOT Link is that Link's "Spirit" is supposedly reincarnated, and a spirit can't be in two places at once can it?
Then again, it seems only Wind Waker Link and OOT Link shares the same one, seeing as Ganondorf in WW claims he's The Hero of Time reborn, and says nothing about TP Link being the hero of time, as far as I know.
Also, something no one have mentioned, they both hold their swords in the same hands; Left in the Gamecube version, and right in the Wii version. So yeah, he's probably a past Link, or whoever came up with him just wanted people to speculate about it