Of course, but where your hand goes can be a good indication of whether you are in good back tension, you are collapsing, or your tension is going in the right direction.
When Tom was watching me he said I was clearly in good back tension but the final part of my shoot was likely a bit of shoulder pull, and my hook not being deep enough was resulting in my hand coming away from my face a lot more, going slightly down, and then coming around. This was giving me erratic results at the target because my hand was kind of plucking the string a little bit.
Having my elbow come around properly is just an indication that I'm pulling properly and my tension is going where I need it to be.
You're absolutely right though in that plenty of people think a dynamic looking follow through is how things need to be, and that's also true in the compound world. I've seen plenty of people punch a thumb trigger, or consciously open their fingers on the string and give a collapse, only to have their hand come way back around and touch the back of their head or their shoulder. "You need to have two anchor points - one at the start and one at the finish".