His purpose as a shinobi, outweighed the connection to the clan. He surpassed his pride, his inheritance, his entire love for his family, just to prevent a war, which could have been born, after the Uchiha attacked and weakened the base of Konoha. He is a legend, his way of thinking was many steps ahead, doing things for the collective goodness for everyone. A utilitarian base of philosophy. However, despite everything, despite his immense strength in overcoming his pain, his burden. He couldn't do this to Sasuke. The strongest scene was clearly stated by Fugaku.... "Our pain will only last a second, in difference to you. You should know, I am proud of you. But please, take care of Sasuke". He was indeed... a true hokage.