There is a time time to push the safety on a 1911 and start the trigger press. After practice, much dry fire drills, it becomes muscle memory. The trigger finger follows the safety press and is part of a sequence.
With much practice you can be on target at the end of the punch out, your thumb safety disengaged and your finger pressing the trigger with confidence you're on target when you're at the end of the punch out. Disengaging the thumb safety early in the draw stroke can lead to an early trigger press and a premature shot or AD. I've seen that happen more than once.
I taught myself and others a discipline to keep the thumb locked open until the gun is chest or clavicle high at the beginning of the punch out. The thumb never points down or on the thumb safety during the first half of the draw stroke, bringing the gun up to the shooting plain. Once the punch out begins is when the thumb comes down pressing the thumb safety. I even use the thumb to now point at the target. The trigger finger is keying on the thumb through muscle memory and is pressing the trigger. If you've paid your dues and practiced, your sight picture is good and the gun goes off at the end of the punch out. Click and ride the thumb safety, pull the trigger. Click - boom, one fluid motion.
To switch over to a Glock, I'm not scrapping 40+ years of muscle memory using this technique. So I incorporated the 1911 safety into the Glock.
