In a gun like this, there is no action motion to help spread the recoil impulse out over a longer period of time (like in a gas operated semi-auto). Most pumps will unlock at firing so that bolt going back will help a little. Bottom line, the Cynergy should be comparable to a pump and perhaps only a wee bit worse.
Want to reduce recoil in the Cynergy? I have 3 pounds of TSS glued into the buttstock cavity of mine to reduce recoil and it really helps. Still, heavy turkey loads are an awful thing to shoot no matter what you do.
Good luck with your new Cynergy Ultimate Turkey when you get it! You won't be regret the purchase!