This might sound cynical, but I think Sasuke has all but forgotten about such closure. Obviously that was wildly impactful on his life, but the majority of his life was driven by his revenge against Itachi, and even now, his introduction to the war arc, and his current ideals towards the system, he's either emulated Itachi (bearing the hatred/doing it on his own) or used his brother's memory as a catalyst for his motives. He got more than enough closure in the Kabuto fight, which may make possible closure with his parents useless. Naruto's was integral to his character because his father was the reason he got Kurama and his mother was the one who saved him from being punctured via her sealing chains. Sasuke's parents were already dead by the time he saw Itachi with his blade. Sasuke has more pride for his clan than he does with the will to get closure with his parents.