In the end it's up to your table! I personally lean the former (any time you'd need to Bite the Dust) to lean into an "extremely powerful but mortally fragile" kinda vibe for demigods, but it could be reasonable to also go with the latter!
That's how me and the Demiurge player read it (which is exciting and would certainly balance out both the narrative power and the mechanical power of Four Starting Moves), so we will stick to that! Thanks for the clarification.