If I play a particular sovereign as a city-razing warmonger, I want the AI to remember that.  That's not to say that they should necessarily award me a dipolhit for being a very bad person, because for all the AI knows, I could have had a very good reason for employing that strategy.  However, it would be good for the AI to be wise to my ways - that when they push me around, I will burn their cities to the ground and demand their surrender.

And if possible, when the AI plays using that sovereign, they should employ similar tactics and a personality which supports it.  You could say that I was a bit of an isolationist, content to build up my empire in peace and focusing on creating a contiguous blob instead of having little cities all over the place, but not happy when my borders touched another empire.  I was aggressive because I focused on the military technologies and training military units, and a warmonger because I pursued the war even though I could have signed a peace treaty and walked away with a nice sum of gildar long before the war ended.