At the end of the game, the 'Initiate Horde' doesn't specify where to check the initiates. Is it Draw, Discard, and Pyre just like other stuff, or is it just draw and discard?
"Players will take all the cards from
their Deck, Discard, and Sacrificial
Pyre and place them in a single pile."
All cards come from everywhere for final points. Unless a card says otherwise, everything counts for final scoring.