I carry Hornady's xtp load in my LCP. The xtp is a less-expanding bullet than most jhp's, and with the .380's limited energy I personally think that's a good thing. I used to carry the heavy 102-grain remingtion jhp with the assumption being: "If it expands, great; if not, it's still the heaviest bullet I can throw in this little gun." Problem was that testing consistently showed good expansion but substantial underpenetration with it; something like 8-9" in gel iirc. With the xtp, I'm giving up some expansion but gaining several inches of penetration.
That said, I do think penetration can be overdone as well. There's a lot of people who recommend the buffalo bore hardcast load for .380 users, but that's doofy. In every test I've found on it, it penetrates more than 30 inches, and sometimes near 50 inches. If my goal is simply a thru-&-thru, then a lot of fmj's will do that for me, with less cost and less wear on the gun. Even winchester's fmj-fp white box load can give me that - why pay buffalo bore prices to get USA white-box results imo...?
{edit - the buffalo bore jhp looks good; I'm specifically talking about their RN-FP lead-bullet load.}