The only thing I do differently when bending a through bolt gun is place an additional clamp on the cheeks of the stock at the head to prevent spreading. I keep the bolt very tight during a bend and often tighten it a bit more afterward.
You are looking for a very small amount of travel to get your bend, the bolt should not cause you issues but if it does you will know it. I would set it up and see if you can push it as far as you need for the bend without issues cropping up.
I bet it will be fine.