I get what you are saying, I do tend to do the same for the most part (run with my pistol out). My issue is the times when you need to switch between the two. Maybe you are shooting at someone out at 30m and suddenly someone comes from the side at you up close, or because there’s too many and you run out of ammo. It’s those times that the quicker deploy time means you can pop pop dead at the assault more reliably than spinny spinny pop dead (if you get the headshot).
And also the reload is a big problem on the peacekeeper for me. There are times when you’ve expended your primary (maybe shooting at a horse) and then deal with a couple up close with the pistol and you need to reload. With the Peacekeeper it makes more sense to switch back to the primary and then reload that, whereas the Auto Revolver is quicker to get you back into the action. Don’t get me wrong, there’s lots to love about the Peacekeeper and I keep it as my pistol of choice in anything but medic class, but the Auto Revolver is just more consistent for me to give up.