People often get all hung up on the safety features of firearms, some won't carry a firearm unless it has multiple safety features because they worry about it going off when they don't want it to, others won't carry a firearm unless it has no safety at all or only passive safeties because they feel that it might prevent them from being able to discharge their firearm quickly enough if need be.
Personally, I don't care all that much either way. I've carried firearms with and without manual safeties without worrying about it either way. Folks often cite older firearms without safeties like the Colt Single Action Army for their hazardous ability to go off if something hits the hammer or the firearm is dropped and it lands directly on the hammer, but historically how many people actually were killed as a result of this? Honestly, folks cannot bring up firearms safety nor the Colt Single Action Army without bringing this up, but nobody ever mentions a documented case of anyone actually dying because they accidentally shot themselves when their SAA was dropped or something tapped the hammer while it was down on a live round, which leads me to believe that it was such a rare occurrence that there are few if any surviving documents of its occurrence, or it never actually happened at all to begin with, so people have been worrying over a potential safety hazard which seldom if ever occurred for generations.
I know that folks will argue that the risk was mitigated by the common practice of only loading 5 rounds in the cylinder and putting the hammer down on an empty chamber, but frankly I don't believe that literally everyone did that, and I can't help but wonder that if the SAA was honestly so hazardous that everyone felt the need to leave a chamber empty, effectively reducing its capacity, then why didn't Colt ever address it by redesigning the SAA so that it was safe to carry with all 6 rounds loaded? Honestly, there were older percussion cap revolvers with notches cut between cylinders so that the revolver could be loaded to capacity and the hammer could be safely rested without the firing pin touching a cap, so why wasn't the same feature implemented on the SAA? My guess is because it wasn't actually as dangerous in practice to load the SAA to full capacity with the hammer down on a live round as folks seem to think it is, especially considering there are very few ways that the hammer could be struck hard enough to make the round go off and that landing directly on the hammer if dropped was highly unlikely due to the shape of the grip and the firearms overall center of gravity.
So yeah, how many people are currently carrying the LCP II and/or the Security 9, and how many of them have been injured/killed as a result of the firearm going off unintentionally because the trigger was just too darn light? I'm going to be bold here and presume that the answer is ZERO because in this day and age in which information travels fast and folks are quick to file lawsuits over such things, it's most likely that news of such an occurrence would have spread far and wide, with many a thread posted on the subject, and folks gloating about how "I knew it wasn't safe!" without hesitation.
In other words, it's one of the many unfounded concerns shared among firearms enthusiasts, which unfortunately more often than not goes hand in hand with paranoia, ergo the people who insist that certain firearms are unsafe without any physical evidence to substantiate their beliefs and also the sort who believes in all manner of absurd conspiracy theories with no physical evidence to back them up either.
Personally, I only chose the LCP over the LCP II because it was the more time-proven model available, at the time certain folks were reporting that they had experienced FTFs with their LCP IIs, the LCP II wasn't available in Stainless Steel, and I preferred the aesthetics of the LCP to the LCP II. Granted that at the time I wasn't aware of the supposedly objective fact that the LCP is a flimsy firearm that will literally fall apart if a mere 3000 rounds of Standard Pressure ammunition is fired through it, but I digress... Admittedly, I too shared the sentiment that the LCP II's trigger was too light at the time, but seeing as nobody seems to have accidentally shot themselves or another dead because the trigger was too light, I'm going to go ahead and assume that it's perfectly safe to carry.