Not at all. Each Susano'o variation is stronger and much more unique than the other.
Kagutsuchi does not derive from Amaterasu, if that was the case than Itachi would have that ability too. Kagutsuchi is Sasuke's original MS ability to remove the MS flames, which he performed with no prior knowledge of having to do so. He just wanted to save Karin, in which he released the flames after trying.
All eye techniques require training. Byakugan, Sharingan, etc are not forms of training for their "seeing" in a sense. With no training, a Byakugan can still see with a 360 rotation right? With a 3T Sharingan, you can still slow down time for precognition by visualizing future muscle movements, correct?
Mangekyo Sharingan techniques are technqiues. The Byakugan viewing and the Sharingan using precognition are not unique traits to the person who activates it alone. With the Byakugan, a Hyuuga member still has to train his body to perform the Taijutsu style Gentle Fist.
With the Sharingan, a Uchiha member still has to train his eyes to perform better with Genjutsu, and reacting to faster shinobi.