Skipping your next Draw Phase is not a cost, so if your opponent chains “Magic Jammer” or “Imperial Order” to negate this card, you do NOT skip your next Draw Phase.
If your opponent chains “Book of Moon” to flip the target of this card face-down, the monster is not destroyed and you will skip your next Draw Phase.
Netrep Rulings:
If the activation of “Offerings to the Doomed” is negated, that player does not skip his or her Draw Phase.
If multiple “Offerings to the Doomed” are activated in the same Turn, the activating Player will skip only one Draw Phase.
Netrep Q&As:
Q: If I use “Offerings to the Doomed” on a face-up “Spirit Reaper,” do I still have to skip my next Draw Phase?
A: “Spirit Reaper” will be destroyed by “Offerings to the Doomed” and you must skip your next Draw Phase. bishop, 12/23/2003