IMO, sporter and bull profiled barrels should perform identically or nearly identically given that they are from the same manufacturer when cold, cool, or even warm. (Variations between manufacturers could give an advantage to one barrel over the other no matter the profile.) Where the bull really shines is when the barrel gets hot. The tendency to warp (very minutely) is less with the thicker bull barrel than the thin simply by the amount of material. The more the material (of the same composition) the less the deflection when heated. THere is much more material the warping force has to overcome.
To compare the barrels of one manufacturer of a particular profile against another's of a different profile has, again IMO, very little to do with the profile. It is mainly due to the build of the barrel (chamber dimensions, rifling dimensions and specifications, etc.) It is said that the CZ barrels outshoot a lot of the other manufacturers' barrels because of the bore dimensions. The muzzle end of the bore (being hammer forged) is tighter or just the right dimension as compared to the chamber end. My CZ sporters do outshoot cheaper (i.e., Butler Creek) bull barrels but they also outshoot sporter and semi-heavy barrels from other manufacturers. (A very good inexpensive bull barrel that slightly outshoots my CZ sporter barreled guns are the Green Mountain barrels.) Agains my CZs with heavy barrels (Varmints), the sporters shoot about the same.
Another big factor is ammo selection.