Do you have experience working with 3-year olds?
I do work with 3-year olds, and my experience says you're wrong: you can't lump them all into one little box, like you're trying to do.
I have lots of experience dealing with 3 year olds, and yes, other than the ones who are mentally slow or off, I stand by my statements.
The ones that don't fit into the box are the ones whos parents either refuse to discipline them properly, and be the parent... or are mentally slow or off. By 3 there is no excuse for that behavior.