[A] and [C] are not the same. The former puts the card into the blood pile the latter puts it into the game box (i.e. out of play entirely).
And I'm not sure your ruling is correct either...but thanks.
Like I say, it's a pain when accepted terminology isn't used.
Since the wound pile is meant to be an infinite resource, they are functionally the same. Once your wound pile is empty you need to find proxies and those wound cards you threw in the box look like mighty fine proxies.