For short range benchrest, there are advantages where flat based bullets COULD shoot smaller than boattails. Flat based, short ogive bullets will typically have longer bearing surfaces, more uniform pressure on the base leaving the case, more uniform release from the muzzle, and higher stability as their center of gravity is not moved so far from the center of pressure. For long range competition, the increased BC benefit from boattails helps bullets cut through wind faster, farther, so unilaterally these are better for LR games.
In saying all of that, however, the bases are not the dominating aspect of precision - a junk flat based bullet with imbalanced jacket or core won't shoot better than a better quality boattail just because it had a flat base... A cheap Hornady Varmint bullet isn't going to outshoot a Berger Hybrid just because the Hornady has a flat base.