But the House of Mogh was completely taboo ever since Worf's father was blamed for - whatever it was he supposedly did. Or am I remembering that incorrectly?
The impression I always got was that a Klingon house consists of: a) immediate/extended family and b) loyal retainers. As far as I remember, Kurn is supposed to be the only family Worf has left in the Empire.
And if the House officially didn't exist all that time, wouldn't the loyal retainers have gone off to join some other House whose honour was actually intact?
I suppose I don't quite understand how the Klingon House system is supposed to work. Another confusing case is the House of Martok: Worf describes it as having a highly honorable reputation, Martok's wife is even supposedly descended from an ancient Klingon princess, yet Martok himself is supposed to be a 'common soldier from the Ketha lowlands' with no noble blood. (I think that was the phrasing used)