Center of mass gives the highest statistical probability of scoring a hit. If you specifically aim for the heart to the left and you have loose groupings (stress, position, etc), the chance is greater that shots will miss.
Given a 12" hit zone for example, if placed directly on the center of mass, an average body will cover the entire hit zone regardless if you hit bullseye or the edge of that pattern. If you start aiming for the head, neck, arm, heart, etc, part of that 12" circle will fall out of the body and your statistical chances of scoring a hit are less obviously. Of course 12" doesn't necessarily reflect the real world--it could be more or less depending on your situation (running, still, stance, awkward position, injured, weak hand, wrestling opponent, distance, stress, distractions, visibility, yadda yadda) and an infinite number of variables.
Its hard to say how good your groupings will be given a dyanmic situation and aiming for center of mass gives you the best chances as it's the largest target. Shooting for the center of chest is the next best thing to the center of the body (with respect to probable hits) and is more efficient since there are organs there that can shut down an attacker quicker.