"Shooting" is about accuracy, velocity and maybe recoil. Your typical polygonal bore may be slightly more accurate than your typical land and groove, but the most accurate bores are usually boutique land and groove barrels. The accuracy difference between any two barrels is virtually undetectable compared to the accuracy of the platform (9mm auto pistols don't shoot 3" groups because of the bore quality, but because of the fit and design of the action). Velocity is going to also be dependent on a lot more things than the rifling type.
So the reality is that polygonal bores aren't going to necessarily "shoot" any differently than any barrel. The benefits really come down to the quality for the price to manufacture, ability to deeply clean and (mainly) longevity.
I can't think of a polygonal bore pistol that doesn't have a good reputation for its barrel quality, so I would generally tend to favor such pistols. The production method that makes the bore polygonal offers other advantages in terms of barrel construction quality.