It does not.
You stated-
And I am asking why, and how? If your statement is correct, than you should be able to explain how the barrel “reacts” differently between rounds three and four, or between rounds 3 and ten, and what that means to group size.
Ok I got you now, see if this helps,,
Each round equals more friction, and explosion
More friction and explosion equal more heat
More heat equals more movement of atoms
More atom movement equals expansion, thermal expansion in this case
When the metal expands, it changes shape
When it changes shape, accuracy is effected
When accuracy is effected, group size changes
regardless of barrel dimensions, this is applicable, if all metallurgical properties are the same ( near impossible) , a thicker barrel will react slower than a thin barrel because it takes longer to heat up, it “reacts” slower
every barrel has its own metallurgical personality, and shot #4 maybe improve the group size , but in a skinny barrel, usually not
Every barrel absorbs heat between shots 3 and 4, this may help some barrels, but in general, the slimmer a barrel, the quicker it heats up, one shot at a time
phew,,,,,best I got for you, if this don’t help, you will have to go over to snipers hide and research for yourself