The short answer is yes it will help. The B&C has an aluminum bedding block, so you can "skim bed" the block and add bedding to improve the recoil lug area (travel).
I did mine myself:
I would shoot the rifle without bedding first, just to see how she does. Since you've chosen a tactical set up, you may want to go ahead and do it.
Be sure to follow the proper torque when securing action screws : 55-65 in lbs. This is critical to your potential accuracy.
After bedding, my groups improved, the bolt moved like butter(stress relieved the action) and the play in the recoil lug was reduced to zero.
In a B&C stock, the recoil lug pit has over 3mm of play. Once bedded, the recoil lug will fit in like a glove for a more repeatable fit.