Where are those ballyhooed patterns Ramrod?
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It looks like you removed this from the greater context in order to fit your narrative.
Those statements are indeed true......for the same choke constrictions. When you do read that section in 'Sporting Shotgun Performance' its shown that the same differences in bore to choke in the large bore gun and the small bore gun did indeed perform the same.
Which makes sense, a 0.012" choke is going to perform the same no matter what the original bore is, and there are volumes of books and testing here that show that.
Choke sizing and thus pattern performance has always come from the difference between the expanded shot payload in the bore and the compressed shot payload prior to barrel exit.
The stumbling block that I think you've missed is that the performance of the pattern depends on what happens in the barrel.
A payload that gets slammed together right before exit is going to react opposite and equally. Its why our shot patterns spread as they go away from the a barrel.