Most collapsible crons need a rebuild and cleaning of haze, so unless you're planning on having this done, a rigid would likely be newer and not needed.
After having my "minty" (as bought here on the classifieds) collapsible rebuilt and cleaned, I've not seen any rigid or DR images come close to it.
Of course the DR focuses closer with the eyes, and the head elements are mechanically interchanbeable with the Rigid. Some references imply 2 versions of the rigid, the latter being closer to the DR but without the option for close focus or eyes.
They all share the same optics design, but glass materials, coatings, and distances from flange to elements vary.
You are much likelier to get better IQ from the cleanest most recently rebuilt example, than from any version in barrel housing variations, IMHO.