Having the CoG too far aft in pull up risks that you inadvertently pull too much instantaneous G, i.e. the high speed may amplify the movement of CoG in relation to CoL and control momentum.
"The elevators proved to be moderately heavy at all speeds, particularly at above 350mph (565km/h), when they became heavy enough to impose a tactical restriction with regard to pullout from low-level dives. This heaviness was accentuated because of the nose-down pitch that was evident at high speeds when trimmed for low speeds. The critical speed at which this change of trim happened was around 220mph (355km/h), and it could easily be gauged in turns. Below that speed, the Fw 190 had a tendency to tighten up in a turn, but above 220mph, some backward stick pressure was required to hold the turn. Thus, in combat, the pilot had to be aware that if he dived on the enemy to get enough speed to follow him into a steep turn, he had to ensure that he didn't lighten his initial pull force by using the trimmer. As speed fell off in the turn, he would have a sudden reversal of stick force that could tighten the turn so much that the plane would depart dramatically into a spin. Most of the early Fw 190 pilots were, however, too well-trained to lose their cool to that extent in battle."
"Flying the FW190..." by Eric Brown.
http://findarticles.com/p/articles/mi_qa3897/is_/ai_n8925541I have read at least of Yak having the same tendency of tightening the turn by itself after certain point which, I presume, is below certain speed meaning that speed has such effect on aerodynamics that some a/c develop a proneness to such behaviour depending of weight division and airfoil design. Spit was known to enter and almost unrecoverable spin which to some degree may be caused by the wing design but probably more by COG moving too far aft of CoL due to centrifugal force in spins.
I think that for a fighter it is optimal to have the CoG located a bit aft of the CoL so that it is still between the CoL and controlling momentum -i.e. tail with its control surfaces. This makes the a/c eager to change its direction i.e. "darty" as Cthulu said earlier or the behaviour can also be described as "maneuverable". In maneuvering this is desirable but in level flight (or while aiming and shooting) an unwanted feature. A plane with CoG too far back can have steady level flight characteristics but this requires aerodynamic compromises which, in turn, may have bad effects on maneuverability i.e. sweep back of wings, location of wings in relation to thrust line etc.
I think that is the beauty of those planes, they all have different approach of how an excellent fighter is done, some succeed in some areas and the others on other areas and there hardly is an optimal design that would excel in all of them. (Or insert your personal preference here...

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-C+