No, from what I understood from the novel, the real Lloyd reincarnates as a baby who, by coincidence, is named Kim Sooho, but they are not relatives nor is he the same Kim Sooho. That’s what I understood, since the real Kim returns to Lloyd’s world with his real body (Kim Sooho with black hair).
Aren't Lloyd and Kim Suho the same person? Didn't the original Lloyd kinda reincarnated as Kim Suho? Or am I just confusing the story.