I feel as though that change would turn the typical week-long slog of getting runes from AWs you don't own and the near-certainty that KP threads bring to the table into a rapid-fire rocket tag death match, where instead of rocket launchers, players now have ICBMs.
otoh, getting your entire fellowship's (and their wives', and husbands', and pets') Golden Abyss up to speed and always on a rune phase might become a thing. Thus encouraging those lucky players to play more tourney.
EDIT: You get a golden abyss! You get a golden abyss! EVERYONE GETS A GOLDEN ABYSS! YAAAAAAAYYYY~