I was wondering exactly the same thing
BeeMaa ;-)
As a Kreighoff owner allow me to share a few thoughts...
The answer is in two parts, because the cocking system acts as both a cocker/decocker and a safety:
1) It is objectively not as easy and unobtrusive to switch as a regular safety is (you need to exert a certain pressure to coil the strikers' springs), so if you are in the habit of switching automatically the safety on/off as you mount/dismount the gun to your shoulder, it is not as smooth as a traditional safety. I appreciated this smoothness on my previous double, a traditional pre-WWII Jules Burry 450 #2.
2) It is objectively immensely safer than a standard trigger-locking safety when carrying the gun, especially in single file, when muzzle discipline can be challenging, because the gun can be fully loaded while fully safe (uncocked), just as a firing pin-locking safety (e.g. Mauser or Winchester "3 positions safety," Weatherby safety, etc.) makes a bolt action as close to fully safe as possible while loaded.
Overall, I feel unquestionably safer along the hunt with this system, but I DID have to acquire a new muscle memory reflex to cock it as I mount the gun to my shoulder.
A third part to the answer - is this where
matt85 was going with his remark on "auto safety"? - is to clarify that contrarily to what has been said by some,
when the Kreighoff cocker has been cocked, it remains in the cocked position, even when the gun is opened and reloaded, so there is no requirement to recock the gun after it is reloaded (as, I believe, the Blaser S2 requires). Reloads are therefore entirely identical to those with traditional guns: break open, flick the empties out, drop two fresh shells, close, aim, shoot. Or if you do not need to shoot again, you can then decock any time you later want.
So, in summary: it is different; it works; like everything new, it needs to be learned; like most things new it is misunderstood and mis-characterized by some; and, in my view, it is an improvement. I never felt comfortable resting my two hands on top of the muzzles of my .450 #2 - and I always cringe when I see someone do it and trust 100% the trigger safety of their fully loaded double - but I would now feel safe resting my hands on top of my uncocked .470 ... if it was not bad muzzle safety discipline anyway ;-)