One possibility is grit embedded under the ejector.
It's fairly common for burned powder particles or grit to get under the ejector and get trapped between it and the rear face of the cylinder.
When the gun is fired, the grit gets embedded.
This causes the ejector to not seat fully, and this causes hard cylinder rotation.
Hold the ejector back, and give the under side of the ejector and the rear face of the cylinder a GOOD hard scrubbing with a toothbrush.
Some times the grit can be impossible to see, and very hard to get off.
Other possible causes:
Check the bushing around the firing pin hole to be sure it isn't loose, or an edge isn't sticking up and catching the rounds. If there is a bushing problem, this MUST go back to the Colt factory.
NO LOCAL GUNSMITHS, repairs take special tooling locals DO NOT have.
There could be an action problem, in which case, back to the factory.
Why only live rounds????
When empty there's noting there at all.
When fired, rounds are fire-formed to the chambers and are a tighter fit.
UN-fired rounds are loose and can move back easily and catch on something, OR they are just enough longer when unfired so as to cause a grit-embedded ejector to drag.
Probably cause: Dirt under the ejector.