I have three sets of barrels of different manufacture dates that all fit my action straight from the factory. The smallest piece of trash or unburnt powder in the wrong place will prevent the action closing correctly. I would check all mating surfaces of the action and barrel to see if there is any foreign material on them. Since both of your barrels sets have been installed in an action numerous times (based on wear marks) I would check the edges and corners of mating surfaces for preening that might prevent closing. Sometimes it is difficult to get the plunger on the left side of the barrels into the proper place and impatience leads to gnashing about of metal edges on barrels and action. One of your barrel sets(right side in third photo above) has a spot bright spot where it looks like it is being burnished by contact with the action. If that is the barrel set that closes then I would smoke that area on the second set and see if premature contact at that location is the source of your problem.