Depends on what are photographing If it's fast moving or something like that Having a faster reaction time to tapping on the shutter button means you are not missing that shot potentially
I don't like the sound of adding these additional apps that are meant to improve. I've only just got my S23U but find the shutter speed very fast on default settings.
It's normal to lose battery from anything you are doing on the phone. The camera is one of those that drain battery the most due to heavier load on the CPU and more processes taking place. Everything you do on your device will use battery right down to receiving a notification, it's just that some use more battery than others.