I agree. Which means the dad was probably crazy too. Why'd he keep her around, knowing she wasn't well enough to be around her child? Yikes. Lucy In The Sky
According to SW's story, his father knew she was crazy, yet he still pursued her and fell in love with her. She was depressed but it only escalated into something worse, and so his father went crazy in the end too.
He was traumatized, I don't think he wanted that from his mom. She should have been locked up when she first tried to kill Sangwoo.