The prequel villains are split versions of Vader

This is something I've been pondering recently so bare in mind that this isn't a strong, well detailed analysis full of big words or psycholigical brilliance. To be honest this is something you might think of just from watching the movies and I want to know what you think and if anyone else has thought the same thing. Is it possible that the villains from the prequels were actually split versions of Vader. Think about it like this, the villains I am speaking of are Darth Maul, Count Dooku and General Grevious. I believe that each of these three represents a specific version of Vader. It may be that George Lucas thought about creating villains for Episodes I, II and III by splitting Vader into three characters. I could be wrong though, it may not have been his intention, but it's not far fetched from something he may do, he did talk about how much he wanted the prequels to rhythm with the originals so maybe this is another rhythm but instead of one villian it's three.

Darth Maul: In the Phantom Menace we know him only as a silent killer and apprentice to the sith lord Sidious. He is loyal, obedient and in this film only he seems to have no motive or mind of his own, he simply does as Sidious commands him to. He is also disgarded and replaced as soon as he was no further use, as if he really was nothing more than a tool to be used.

Count Dooku: He is the fallen jedi, once a great man and great jedi, but he had doubts about the jedi, believing that they were wrong and from his point of view, they were wrong. But what ultimately made Dooku fall to the dark side was not his doubts, but the loss of his padawan, Qui Gon Jinn. It was when he lost he closest friend and apprentice that his transformation into a sith was complete, just like how Anakin fell at the loss of wife Padme.

General Grevious: It's pretty obvious which version he is, the machine. A being who suffered wounds, physical and mental so terrible that the only way he could live was to become a machine, a cybrog. One other detail is the fact that in the Clone Wars, Grevious was feared by many jedi because he slaughtered many of them. He at the time was the ultimate jedi killer. Years later, jedi and many others would fear Vader in the same way as Grevious was feared.

Maul= Tool
Dooku= Fallen Jedi
Grevious= More machine than man

Put those three villains together and you have Darth Vader.

Do you agree with my theory?, do you think I'm wrong? let me know what you think.