You are correct, but most of the time that entire "cycle" happens with your finger still pulling the trigger. This removes the pressure from the hammer/sear bearing surfaces so they are not getting pounded.
******Key piece of missing info from above posts and articles *****
(in simplified terms so terminology is not exact) When the trigger is pulled and the gun cycles and the hammer is pushed back and cocked, BUT it does not catch on the sear, it catches on "hooks". When you let go of the trigger (reset), typically after the cycle has finished, only THEN do the sear surfaces engage. If it wasn't for the "hooks" the gun would continue firing as long as the trigger is depressed.
So if you are going to let the slide go on an empty chamber on a target gun with a light, polished trigger, you can pull the trigger first, or let the slide go lightly.