S&W 586 cylinder diameter - 1.55"
Colt Trooper mk III cylinder diameter - 1.55"
S&W M19 cylinder diameter - 1.44"
Wow, at 1.57", the cylinder on that .38 may not be a .44 mag cylinder with .38 size holes, but it is definitely beefier than S&W or Colt thought a .357 needs to be.
Is the .38 stamping on the cylinder the same font as the barrel markings? Possible...and I'm randomly thinking out loud here...but that stamping could have been put on a duty gun to signify the proper duty round....?
If it is a different font, perhaps it is a .357 proper, and was stamped post-factory by the agency issuing it, for use as a duty revolver only with .38 special duty rounds. If the gun was surplussed from a foreign government or police issue and then imported, that is. I know there were runs of revolvers made to order by S&W and Colt that you'd expect to be .357, in .38 special to satisfy duty requirements concerning issue loads. The Colt Trooper mkIII comes to mind, I know that a small run was made in .38 special...and there were a few model 10's chambered from the factory for .357. Both of these runs were done at the request of certain police agencies to satisfy their duty requirements.
Maybe a foreign force needed .38's for its force, and instead of paying for a special run of otherwise .357 guns, just had the cylinder marked for .38 special and issued them for use as duty guns with .38 special.
Edit...It looks like the stamping was done before the gun was blued, I don't see any bare metal in the stampings...but its hard to tell. If that's the case, either the cylinder was reblued after stamping, or it was stamped prior to the gun leaving the factory. Rebluing points to bubba or a custom rechambering/new cylinder, but a stamping from the factory is possibly something that would have on the guns when delivered, if my hypothesis about the guns being marked for .38 duty rounds only, but being a .357 in all other ways. The font not matching would be something that could come from the factory, as they might not have cared about matching the font on the two machines for a duty gun..
I have Rugers and S&W's with significantly different shades in bluing between the cylinder and frame. It's a pretty common phenomenon.
Getting the bluing on the cylinders and frames to match is actually pretty tricky, I've heard, because of the properties of hot bluing and the different alloys and treatment of the steel between the two.