The biggest advantage of the .380 is the guns it works in. It seems to me that it is adequate if not overpowering.
I was surprised to see in his biography that John M. Browning’s favorite gun was the little 32 auto.
My normal carry is a single stack 9mm. I feel the 380 round is probably sufficient, even in the limited 6+1 configuration of the LCP. Though yes, I feel better with my 8+1 9mm S&W Shield and a spare mag or two.
My main beef is with the dynamics of the LCP. The sights are, at least for me, only usable if the fight is in an indoor room, a medium-small room. Racking the action is more difficult than on any other semi-auto handgun we have. While it has never jammed for me, it has stove-piped multiple times for my wife and son. It seems to need a *firm* grip, any slack and the action doesn't cycle properly. There are probably other 380s that I'd like more, or dislike less. But I really like the Shield and it is easy enough to conceal 99/100 times. I can put up with the LCP the other times - gives me an excuse to gripe. ;-)
Oh, and a final note on 380 stopping power. Yes, it is not as powerful as many other handgun rounds. Funny thing though, I've never met anyone who claims it isn't powerful enough who is willing to get shot by one. ;-/