Like I said AJ a lot of technically minded people tend to over think things and go by theory, I go by practice not theory, I have seen too many things where experts have claimed something and then when put into practice it has not worked. I can only say what happened in my own experience and how my fix worked for some of my customers. In 99% of the cases I have been involved with the shims and solid mount has fixed the problem, in the one case it did not work the customer sent his gun back to Crosman and it came back with a new barrel and was shooting great.
Too many guns use barrel bands without having issues to be able to put the blame on cylinder expansion, I have 3 Pneumas that are dead on accurate and they use 2 barrel bands that go directly around the cylinder, so if air tube expansion is a problem it would for sure show up with them, and I am not the only person who loves how the Pneuma;s shoot.
One thing I have found with my Mrod that really effects the group is trigger pull, if I do not gently squeeze the trigger the same each time the group will open up, so breathing and trigger pull on my own Mrod can really effect my groups, if I rush a shot or pull the trigger instead of squeezing it then my groups are not very tight, get my breathing down and my trigger squeeze constant and it gets very nice groups, all the best, Neil.