No, it was on the show. Worf remembered his family, remembered being a Klingon child among Klingons. Alexander's mother was half-human and lived among humans, and then he was sent to live with more humans when she died. He tried to make his father happy, but it was pretty clear that he was human at heart.Why did Alexander go by the last name of Worf's adopted parents when Worf himself didn't? They did call him Alexander Rozchenko on the show, right? Or is this just something from Trek Lit. or fanfic?
And, if I remember correctly, Worf was discommodated when Alexander became his responsibility. He would not have wanted to pass the name of a house in dishonor to his son, given the choice.