Dogleg's right about different barrels.
When I'm range testing cold bore consistency, I bring a whole quiver of rifles to the range. I'll shoot one shot with the rifle in question, rack it, shoot a whole bunch of other stuff, then pick that one rifle up for another single shot. Then lather, rinse, repeat as necessary.
For total confidence in a hunting rifle, I want those 3 (or whatever your number is) cold bore shots to hit POA (+ or - my own margin of error), AND I want it to put 3 quick consecutive shots within my dispersion criteria after load testing (usually 1.5MOA for a scoped rifle.)
All that trigger time at the range is the fun part!