In order to use the DA+ mode to its potential, you MUST ensure that the trigger will not be contacted at ANY point by anything while carrying. That means it needs a special holster designed specifically for it to be sure the trigger isn't accidentally pulled in DA+ mode. Unlike a glock and other striker fired guns that have an integral safety in the trigger, the LH9 does not and can be fired inadvertently by any object entangling or brushing against it.
Your concern about the trigger is arguably true of ANY GUN: make sure the holster does its job, and nothing but the gun goes into the holster. Even guns with built in trigger safeties (like the Glock) can have accidental/negligent discharges if something falls into the holster as the gun is being holstered. It has happened a number of times with a lot of different guns.
Several folks in this discussion have talked about that "light" [DA+] trigger. I suspect that NONE of these folks have actually shot a DAEWOO or Lionheart. The trigger is crisp, but it's not particularly light. (I just breaks fairly cleanly, which makes if feel lighter than it is.)
The concern about accidentally hitting the trigger is valid, but it's true of almost any that doesn't have a safety "ON" when being holstered (as would be the case with most DA/SA decocker-equipped pistols.) The Glock trigger is no less prone to accidents, when holstering, than other guns... there are many tales about such discharges to be found.
Some years back I used a DP-51 in several pistol matches and NEVER had a problem with (nor concern about) an unintentional discharge. The trigger just isn't that easy to release, nor is it THAT light.
(As I noted earlier, the DA+ mode ought to be called SA+, as it's really a SA mode, not a DA mode: the trigger only releases the hammer, and does nothing else).
The HINGED HAMMER is a handy feature but not a particular reason to buy the gun, if you want to buy one. The Lionheart and DaeWoo guns, on the other hand, are solid, METAL, well-made gun, comparable to many of the steel or alloy S&W and SIG guns in most respects. They HAVE been used in combat by ROK troops.
(I've gotten to the point where I have most of the guns I want, so I'm not likely to get another DaeWoo or Lionheart, but who knows -- I may change my mind. I liked the ones I had: they always SEEMED a bit like a S&W 5906 or 4006 built by SIG. I could think of a lot of guns I liked less well.)
If you find one at a good price, you could do worse, especially if you aren't in love with plastic.
Note: in a response above, someone mentions the Kahr Trigger, which is LONG but reasonable, and he seems to prefer that to the DaeWoo/Lionheart.
I don't. I have had several Kahrs and have one now. Fine gun. But EVERY TRIGGER pull is long, with the Kahr --while only the FIRST ONE is moderately long with the Lionheart/DaeWoo, if you're not starting from "cocked & Locked."