+1pax!
ANY round can be a stopper and ANY round can be ineffectual. It depends so much on so many things, such as the weapon used, bullet weight and design, powder load, clothing worn by the shootee, angle at which the shot hits, where the shot hits, whether it's cloudy or sunny; and I can go on and on.
Suffice to say, if you're considering different calibers for a carry piece, think on this...
Any modern JHP in most common calibers will do the job. As Mas Ayoob says, "It's not the last shot that counts, it's the first." Shot placement is EVERYTHING.
When you find a gun that fits your hand like a glove, is accurate with your skill, is reliable, and is concealable - THAT'S the gun you want to carry, whether it's a .32 ACP Mousegun or a fire-breathing .454 Casull.