They will but you will not see it. Now on the target side you will see the Bolt gun work and shoot harder when I say harder not as hit hard but as a pattern harder. This is only because you can play with the Head Space and get a chamber just the way you want it. Now I have seen on target guns a bolt will need a bigger choke to do the same thing that a pump will take a .005 to .008 smaller choke.
The head space, chamber I.D. and choke/chamber centered with the bore is why you see some of the guns go big numbers and some shoot like junk.