When the ex crown prince told Geon that Samyeong isn't himself anymore AFTER his wife and child are dead. The panel showing he cut his hair implied that he went mad (i.e., denying the truth) bcs being a good son he is, he wouldn't do that. He is just trying to be happy (before he met Geon again). I think the panels are coherent and understandable on how simple it is.
I mean, that's how grief works... It was kinda implied that the child couldn't survive on her own alone (I think I kinda remember characters saying that ????) but Sam-myeong is still in denial and says his daugther is "lost" somewhere. It's kinda confusing because Chang-geon also tell the guard to find her and kill her, but I guess it's just cause he believes Sam-myeong lol
Unless she's actually alive and the author is playing with us

Eh? I'm so confused.. the short hair mc scene is from the past or present? I'm so confused with the whole chap and the long haired one in the end of the chap is also mc? So then if he went crazy back then how's he's sane now?