For all his swagger, he never really gets the girl. He still hasn't "scored" with the ladies while the more austere Jin has already fallen in love.
This episode is funnier than it was intended just for Mugen's yell of "I want my nookie!"
I wonder how many takes it took to get that line taped without Blum falling over laughing. It was probably very hard for him to deliver with a straight face. :-P
This episode was also revealing as it showed a little more what life in a brothel was like. These women didn't get to go home when their shift was over. Until certain debts were paid off - debts usually incurred by male family members - they were virtual prisoners.
Besides "Memoirs of a Geisha", I would recommend viewing some of the "Zatoichi" films of the 1960s for a closer look at the gritty reality.