
Hrm. This is where it gets tricky. You see, the way the game frames it, all PCs, old and new, are supposed to be from 'somewhere else'. They're seeking their fortune in Eorzea, but are not from there. Where they are from is left intentionally unexplained, which I think is a sort of callback to the original Final Fantasy's Warriors of Light.
Because of that, the Warriors of Light didn't leave any family behind in Eorzea, going strictly by lore. Of course, that's completely garbage for roleplay, and we're left with which problem has no canonical solution. Could there be bonds strong enough to thwart the memory loss entirely? I don't know, and I don't think the game will give an answer.
In any case, as I said, it's only the identity that's forgotten. Names falter on tongues and faces cannot be pictured, but deeds, emotions and objects connected to those who vanished linger in the memories of those left behind. This is made quite clear. If you left behind family, they'd remember you, they just wouldn't be able to give you a proper memorial.
Because of that, the Warriors of Light didn't leave any family behind in Eorzea, going strictly by lore. Of course, that's completely garbage for roleplay, and we're left with which problem has no canonical solution. Could there be bonds strong enough to thwart the memory loss entirely? I don't know, and I don't think the game will give an answer.
In any case, as I said, it's only the identity that's forgotten. Names falter on tongues and faces cannot be pictured, but deeds, emotions and objects connected to those who vanished linger in the memories of those left behind. This is made quite clear. If you left behind family, they'd remember you, they just wouldn't be able to give you a proper memorial.