Within the same era of production, yes.
A very early model versus a later model will have some small changes.
(Why can't I write a simple post with a simple question?)
The initial question I asked was not the correct question. I have an older, 1929, police positive and it Chambers the 32 S&W long well. Shortly after I purchased the revolver, something inside the action loosened. I know better than to Tinker with a double action Colt so I brought it to Frank Glenn here in Phoenix. It was a quick easy fix for him, but he did mention that I was likely to see the over rotation in quick double action. And that is true.
I corresponded with Frank recently to see if he could correct the over rotation and he remembered the revolver from a couple of years ago. Apparently, when the revolver was polished and reblued it was over polished on the cylinder creating the over rotation issue. He suggested a replacement cylinder and that wouldn't be a difficult thing for him to replace and time.
But the police positive is somewhat difficult to follow as far as what calbers it was available in and when. I can find the shorter cylinder (1.25") in 32 long colt but not 32 new police/32 S&W Long. The serial number dates the revolver to 1929. I copied this from the Colts formum.
https://www.coltforum.com/threads/police-positive-size-difference.58075/
Police Positive was made in two frame sizes. The .32 frame which had a cylinder diameter of 1.25" and a cylinder length of 1.40". ( I think he got the 1.25 and the 1.40 reversed)
The second frame size was the .38 frame which had a cylinder diameter of 1.40" and a cylinder length of 1.40".
When I search for my serial number in the colt serial number lookup database it returns 2 possibilities
1. Year of Manufacture 1924 Model POLICE POSITIVE SPECIAL - cant be this one with a 1.25" cylinder
2. Year of Manufacture 1929 Model POLICE POSITIVE .38 CALIBER (NOT 38 SPECIAL - 1 1/4" CYLINDER LENGTH - INCLUDES POLICE POSITIVE 32 CALIBER)
My cylinder definitively measures 1.25 in Long and 1.40 in diameter. If I read through the minutiae and interpret it correctly, I think this police positive was originally chambered for the 32 Long Colt.
Is that correct?
There appears to be a disconnect between what was written in the Colt forum (possibly incorrect) and what I read in the serial number lookup.
FYI - when I say the revolver was over polished, it was polished enough to remove all of the lettering on the barrel. Other than the serial number, the only other marking left on the gun is part of the rampant Pony on the side plate. It must have been severely pitted before it was reblued. As I indicated above, the revolver Chambers and fires 32 S&W long well. It is conceivable the cylinder was originally chambered for the 32 Long Colt and it was rechambered for 32 S&W long when it was polished and blued.
I actually have dies and brass for 32 Long Colt. So iff my choice in a 1.25" cylinder is 32LC, I'm ok with that.