Does the brain store information and personality traits in different areas?
I think your confusion comes from the fact that you take traits and memory to be distinct from each other. The brain processes information and we know that some of the connections between its cells are altered in the process --some call that memory. You are convinced that this is the only way that traits form, through experience at some developmental stage. You are then asking if cells in areas other than those that change during the formation of traits are affected more by the experience of forming a trait. If that were true, they would by definition be included in the areas that are associated with the trait in the first place. Can you see the problem in the logic of the argument?

Many people have followed similarly flawed reasoning, including trained neuroscientists that have been indoctrinated to believe in extreme forms of functional specialization of the brain, a more subtle version of the now debunked theory of phrenology.