Brian-- There could be a number of reasons for circular patterns. I am betting on the use of corrosive primed ammunition or blanks. If full power .30-06 was used on a stuck bullet the barrel would have split. There is a very remote possibility of use of a cup type grenade projector, I believe called a V-B or V-D grenade projector developed by the French. Not too many folks know about these grenade launchers as they were very quickly retired after WWI. I would see how the rifles shoots before making any changes. I found both my Pattern 1914s and Model of 1917 Enfields loves heavy flat based bullets.
PS-- If you are going to change out any of parts for original "W" parts be aware a lot of folks will try and sell you Pattern 1914 "W" parts. Heads up generally, they do not fit without some gunsmithing. If you need any help identifying the correct parts please drop me a line or post you concerns.