I think the "big bore" distinction is more important in rifles than in handguns. In a rifle the choice is really between momentum and trajectory flatness to a way greater degree than the spread of performance in most handguns 9mm to .44Mag or so.
In handguns normally employed in self defense roles, my distinction is more made along the lines of "power" rather than "bore." The .380, the .38 Super, the 9mm, the .38 Sp., the .357 Mag, and the .357 SIG all use the same bore, but I know which of those rounds I respect more than the others in terms of ballistic performance. The same goes for .40S&W and 10mm and others with overlapping bullet sizes/weights but wildly differing terminal performance numbers in terms of energy.