Barrel band vs. no barrel band RE: accuracy

I am currently in the process of turning my Crosman 2300T into a carbine. I would like to shroud the barrel, but in order to do so, I would have to remove the barrel band. My question is, would removing the band affect the accuracy? I already have a Corcoran stock for it, and plan on putting on a set of vintage Anschutz front and rear aperture sights to shoot 10 meter rifle competition. Would some of you mod. guys out there please give me your thoughts

Thanks