Perhaps this is generally true.
It's been years since I did anything with factory loads. Then a friend asked me what I would recommend for a hunting rifle. I suggested he go to Walmart, get a Savage 7mm Rem Mag and a couple boxes of Nosler Partition 160's.
He showed up with a box of Partition 150's so we went to the range. The first three shot group after bore sighting it was about 5/8". I made an adjustment and the next three were 9/16". Another adjustment and it was sighted in with a 1/2" group.
I told him to go back to town and buy everyone of the boxes with the same lot number.