Arik--Notice in Bill's last photo (with bobbed hammer installed) that the safety is on the slide. The safety is OFF and that little depression normally is colored red--caution!. If you belt carry your gun with the safety on (down) covering that red dot you can't pull up the hammer and drop it so it will discharge. Bill's 1st and 2nd pic's reveal the semi-circular safety block that prevents the hammer from hitting the firing pin when it rotates covering the pin.
You posted that you were not fond of frame mounted safeties. 4566 safeties are mounted on the slide (mine is anyway). Exactly the same as a 1911, M39, etc. Some have safeties only on the "left" side. Mine has levers both right and left. Mike's pics show he for sure has a safety lever on the right but that would be primarily for left thumb/left hand use. The left side pic is somewhat obscured but it looks like his 4566 has levers on both sides.
The safety is also a decocker. The pistol has only one trigger. Even if you were to cock the 4566 while drawing it (it won't stay cocked--no sear to hold it). When either your thumb slips off the hammer, you slowly lower it or in the event you flipped the safety off (which would allow a sear to engage holding the hammer back) you can just move the safety lever down toward the grip to decock it. No bang.
The hammer will fall on the firing pin block and even if there is a round in the chamber it won't discharge unless something isn't working properly. Muscle memory should be the same. I carried a 1911 "cocked and locked" so all I had to do is draw and the gun was ready to fire SA as soon as I flipped the safety forward with my thumb.
The 4566 is DA. Draw, clear leather and flip off the safety in one motion. It will fire only when the trigger is pulled--DA. After the first shot everything will be SA. You don't have a safety problem but I understand the desire to not have a hammer. I've done it (bobbed the hammer of a Mod 60) and liked it. DAO looks neat, can't catch on clothing and satisfies that little thing called Personal Preference. Thor