The Spitfire Mk V, allthough longitudionally unstable, could be trimmed to fly hands off.
But as C of G can change with G's, that does not tell too much, - the C of G was just too delicate for a super effective as well as light elevators.
The problem with the Spit V was apparantly that the C of G under G could shift from forward to backwards, causing the plane to pitch violently and take G's enough to kill the pilot or break the plane.
Hope that helps.
BTW, didn't some aircraft with the C of G more forward have the tendency to nose-down under high speed (in dive?), i.e. the 109?
Most WW2 aircraft, as far as I know, had the C of G more aft than the Spitty. Or am I confusing it with center of lift? Maybe both?
Would you refer to C of G as point of pivot by the way?