I doubt that such an important event would be transmitted solely by oral means. At best, it means the Hylians were short sighted, at worst, they're ****ing invalids. The Sages, at the very least, should have documented it and passed it down, hence why the Maidens know so much about the current events and about Ganon, while normal people seem (mostly) ignorant.
And it doesn't make sense to make a less logical assumption when there is a more logical assumption that Nintendo's placement isn't exactly solid- after all, they did have to randomly pull this **** out of their behinds to make it work, whereas everything else didn't need it and a more logical placement of ALttP would be after FSA, as I have gone into detail explaining. To be honest, unlike works such as television where an episodes come out every week so Word of God matters, Zelda only comes out every few years. Until such a time as they directly integrate such ideas in, let's say for example, Zelda U...
HH doesn't mean a damn thing to the internal chronology. It's completely external until it's incorporated in-game. It could eventually, but as of now, not one bit.