It shouldn't. The .44 Special is identical in outside dimensions to the .44 Mag with the exception of being a bit shorter. Since revolver cartridges headspace on the rim, case length is non-critical. Also, the pressure levels of the .44 Special are well below the .44 Mag, so there is no danger of pressure related problems for the revolver itself.

The only problem I have found is that if you shoot the shorter cartridge first and then try to load the longer version, you may have problems getting them into and out of the chambers, due to fouling from the shorter cartridges. I found this to be a small problem with my .454 Casull when I'd shoot .45 Colt first. The .454 Casull rounds wouldn't just drop in freely or slide out after firing. The solution is to use a powder solvent and bore brush to clean the chambers out before loading the larger cartridges. The other alternative is to shoot the larger cartridges first then switch to the smaller version.

Mike