This has not been my experience... I have chopped dozens of barrels... and most of those had loads developed before the chop and retested after the chop... IME you can expect to loose approximately 1.5%/inch of the initial velocity. So a barrel that spits out a bullet at 2000 fps at 22", will launch the same load at 1940 fps at 20" (1.5% of 2000 = 30 fps X 2 = 60 fps)... a firecracker load that launches at 4000 fps at 26" will launch the same load approximately 3760 fps at 22" (1.5% of 4000 = 60 fps X 4 = 240 fps)... you can see that the faster the initial velocity the more velocity that will lost per on a barrel bob... this is not a hard and fast rule that can be applied in all circumstance but it has allowed me to predict post-bob performance pretty accurately.
IMO... you won't notice the loss of velocity, but you will notice the increased ease of handling, and more often than not, improved accuracy (although this may be more attributable to a better crown).