I understand these are cheap target rounds, but they should still shoot reliably.
Why is that? Remember- garbage in, garbage out.
Using sub standard quality ammunition can and will cause failures in many firearms. Most semi auto pistols work within a certain range of pressure, slide velocity, etc. Using weak ammo can cause FTE issues.
Some semi auto pistols have very tight tolerances as well, and using cheap ammo that is very dirty can cause FTF issues.
Lastly, sub compact pistols are usually much less tolerant of cheap ammo because they run at the very edge of what is capable in firearms engineering. They have more narrow windows in which to operate properly.
Shoot some good quality ammunition through your LCP such as Fiocchi, Speer, S&B, etc. My LCP jams with WWB and Remington fmj, but runs flawlessly on Federal and Fiocchi fmj, as well as Speer Gold Dots, Federal Hydrashok, and Corbon DPX jhp.