Technically you can't name Link in FS on the gba, and FSA, I don't mind the option though, but I do mind Link being three people for no reason. Perhaps it might be answered but I mean all it would take is the witch splitting Link in hopes of stopping him from defeating her, this would create some goofy irony on the witch's part as she would have made the legendary totem heroes.
As for single player, I planned on playing in that anyways, assuming I was gonna bother with the game, but I find the weird statues kinda unsettling, could I not just be blond link with a couple of statues not dressed as Link?
Likewise, single player doesn't really solve my issue, I always imagined Link being named Link for the same reason he always looks the same, because of some weird fate or reincarnation thing, I have a hard time rationalizing this game wheb there seems to be little thought put into it.