Louis, I don't have your pistol in my hand to be sure, but I can tell you how my P07, P09s and most of my CZ 75's feel when I pull the trigger.
If I pull the trigger slowly it moves back and then I can feel a "stop". That is the point where the trigger bar contact the firing pin block lifter in the sear cage and starts to lift the firing pin block upwards. If I continue to pull the trigger, slowly, I can feel a second "stop". This is the point where the trigger bar begins to move the sear to release the hammer. If you have a good trigger it won't take any perceptible rearward movement, at this point, to release the hammer.
There's a spring that is part of the firing pin block "system" that pushes it down all the time. The lever in the sear cage compresses this spring as it moves the firing pin block upwards to clear the firing pin for full forward movement. After the gun fires and you let up on the trigger, the lever moves downward and the spring pushes the firing pin block back downwards so that it again blocks the firing pin from moving forward far enough to strike the primer and fire the cartridge in the chamber.
I don't carry on half cock. Not because it's dangerous, but because I carry cocked and locked (hammer at full cock, round in the chamber, safety ON).
It's my understanding (could be wrong) that the half cock notch is on the regular CZ 75 hammer to catch the hammer if someone is thumb cocking it and the hammer slips out from under their thumb. The half cock notch will catch on the sear and stop the hammer from fully striking the back of the slide/firing pin.