Doesn't anyone find it strange that Wrath remembers anything from before he became a Homunculus? In Greed's case, it's obvious that he knows that he's in Ling's body, and that Ling tries to take over from time to time.

If I remember correctly, King Bradley has said that he didn't know if his body/soul(?) belonged to someone else originally. Even if Wrath got the human "King Bradley"'s memories, he should still know that he's Wrath, no? This seems to suggest that Wrath/Bradley and Greed/Ling are different types of Homunculi.