To see if you are right, then we should load 6 rounds in a mag, load one by hand, fire it into the dirt, then group the next 5.
I hear you on good smiths being precise, but thats waht we pay them for.
I am not a smith by any means and was not aware that the slop in the chamber would make that much difference just on how a manually chambered and fired chambered round would group, to be so repeatable as to do it every last time.
Lets see how the 6 round test works and should answer your theory then.