CatShooter
Your M14/M1A was more sensitive because of the shorter gas system meaning the location of the gas port and its higher port pressure compared to a M1 Garand port further down the barrel.
The AR15 can fall into the same category "BUT" the OP has a rifle gas system further down the barrel.
What I'm about to say CatShooter is not in any way meant to be insulting to you or anyone else making comments about the AR gas system.
I do not think the gas system had anything to do with the OPs problem period. I think and I'm guessing it was just a simple matter of the Lapua case being loaded too hot. I get the gut feeling he was shooting this load in Lake City brass and thought if he switched to Lupua his groups would become bug size.
Again this is just guesswork but I get the feeling the OP just didn't understand what he was actually looking at with his cases. Meaning chamber pressure too high for the type brass in a larger diameter military chamber.
Below is a Quickload guesstimate of the chamber pressure and velocity of my 25 grain H335 practice load in Lake city cases with 30.6 grains of H2O case capacity.
Below is the same load in a case with only 28.8 grains of H2O case capacity and over 6,000 psi higher chamber pressure.
Lake City cases have MORE case capacity than any other .223/5.56 case, BUT how many times have you seen someone say military cases have less capacity because they have thicker case walls.
The OP and his Lapua cases were telling him a story and he failed to grasp the plot and where the story was taking him.
Both the .303 British cases below are once fired factory loaded ammunition and never reloaded, and both were fired in the same Enfield rifle. The case on the left has a larger base diameter and the case walls are .010 thicker in the base web area. The only thing wrong with the HXP case on the right is the brass is slightly softer and it has a smaller base diameter. Meaning it had further to stretch to meet the chamber walls, "BUT" the ring around the case means nothing, and the case did not stretch or thin at this point.
Bottom line, sometimes a ring around the case is simply cosmetic and nothing to worry about, but you always investigate what is causing the problem and come up with an answer.