It's pure headcanon but I imagine Daeghun correcting people when they call Farja his ward to his face. Not often, mind, but it happens enough that he can't even deny he does it.
"So your ward—"
"Daughter."
He doesn't even think about it. He just says it without hesitation because that's his daughter even if he doesn't feel deserving of calling himself her father.
(Similar in a way to Farja, whose response to every "You mean your foster father" is "No. I mean my da.")













