That's the problem. I mean, anyone else would have used the situation to get back on their feet and plan to somehow get their honor back.
Klingons are locked into this dishonor or death mode, the problem is, as pointed out already, Worf got his honor back a year later.
Kurn wouldn't even consider that option.
Worf..he was ultra Klingon-- he took everything literally to the point that even other Klingons couldn't understand him...