I don't think it is just that. The biggest thing was that Scott was always up until the Messiah Complex, a decent and moral human being. However, the potential for him to be Rightclops was always there.
See, what none of them really got about Cyke is that the dude is repressed. Emotionally and physically.
Wolverine worries about going into a berserk rage and killing everyone? If by some mistake Scott's sunglasses fell off while he slept, then he could kill everyone in the surrounding area when he woke up.
Those optic blasts of his are what made his life what it is now. Because of that, Scott has to remain in control all the time. I mean we all know he would like nothing more to blast Logan through a window when the guy is being his usual arrogant self. But, he has to restrain himself. Constantly.
It may have made him seem weak to others, but it was actually his source of strength.
This control which made him a good leader. He could always see the big picture and he rarely let emotions guide his actions. It was because of that vision though he could see what the others could not. That was why he was the one that the X-Men trusted to lead them at the end of the day.
After M-Day, Scott factored in everything and realized that this whole 'React' policy that the X-Men had would not work in a post-decimation world. Add that in with the fact that Cyclops had to ensure a species survived, then you got the creation of 'Rightclops'.
Imagine being in Scott's shoes for a moment. A man who has to be total control of himself every single second of every single day. Balance that with having to ensure that a species survived and running the X-Men... See why he developed like he did?
I like to think that it is the reason that the X-Men are so critical of him now. They don't want to admit that they had a part in his fall. They pretend like they didn't force him into this role and pretend that it was all his fault even though the blame should be shared.