there are quite a few gods to which the field lock will come too slow:
akebono, dark matter, destiny (well, probably), divine glory, elidnis, fire queen, graviton, hecate, hermes (perhaps), jezebel, lionheart, miracle (quite likely), octane, osiris, rainbow, seism.
sure, some of these do have low hp creatures, but have only few/blessings/etc.
also, those 2 decks have close to no damage, especially to dr-shields. guaranteed loss against healing :/
so it only works vs these gods: decay, dream catcher, eternal phoenix, gemini, incarnate, morte, paradox, scorpio, serket.
morte and scorpio still get poison damage. Serket may use cloak. paradox may have his creatures survive some via blessings, enough to give him miracle.
decay and dream catcher may lock you instead, eternal phoenix gets his phoenix back, and gemini may get immaterial creatures.
I like the idea though. But I can't think of a way to make it work against false gods.