I haven't shot my lcp too much. About 500 Rounds. I have had under 5 malfunctions with mine. The only time I had problems with it was when I took it to the range after a few months of not shooting it. I found that my problems were resolved with a little bit of oil on the slide.
My self-defense load is the critical defense round. I have only shot about 50 rounds of it but had no problems with any of them. The only other load I have shot through it has been Winchester White Box.