zimmerDN,
I cannot speak for all CT makers but I can speak for those that I have personally been involved with - with regards to zero sequence GF CTs they are wound in a different manner than a typical CT. In ZSGF all three phases pass thru the window, and it is possible to have unequal line currents that balance in the neutral, and since placement of those conductors may or may not be controlled, the winding must be structured such to prevent nuisance tripping. This is typically true of low ratio units (50/5, 100/5). So due to the unequal line currents you will have unequal flux entering the core at different sections of the core. Depending on the sensitivity it can create issues.
Further, depending on the window size and shape, not all cores will be same. Some may be continous tape wound (toroidal or oblong) and others may be stacked laminations (real long windows). So my suggestion when using a single core for zero sequence apps (core balance CT), specifiy the application as such.
From my perspective, core balance and zero sequenece have same meaning. GF may or may not be the same. BUT they all can be window-type CT.