Nope, Kagutsuchi also allows him to extinguish the flames. Which is evident when he uses his right eye on a burning Hachibi.Don't know im torn wether he has it the manga hasn't classified it but the DB has, but with the recent viz scans I've seen it seems his MS doesn't have Tsukuyomi. When Sasuke said those who awaken the Mangekyo in both eye can achieve Susano'o, then why would Obito say Susano'o is rare? Then Sasuke said the third power is Susano'o, but he awaken Amaterasu & Susano'o before Kagutsuchi(assuming that is his second power).