Why a 30 Troyer isn't really a 30 Troyer

I've been looking at this conumdrum for some time now. So, I sat down and wrote out some figures. Here's how it works -

A 30 Troyer is defined as a 1" hole at 30 yards. Therefore, a 30 Troyer is also a 1/2" hole at 15 yds., etc.

But if you look at the figures, it's not really the case since we're not dealing with best edge scoring. We're dealing with worst edge scoring. Hit the edge of the hole (a splitter) and you get pellet that enters at an angle and doesn't have enough forward energy to knock down the paddle etc.

In actual usage, you have to subtract a full pellet width from the total hole diameter in order to determine your actual "useable" hole size. Therefore, a 1" hole has .823" of useable space and a 1/2" hole only has .323" of useable size. Over 2 1/2 times the useable space at twice the distance.

I would argue that it is easier to hit inside of a .832" hole (1 inch minus .177") at 30 yds than it is to hit inside of a .323" hole (1/2" minus .177") at 15 yds. There is a whole lot more room for error at 30 yds than at 15 yds.

I would assume there are wiser heads who have discussed this before me and have decided to leave well enough alone.
John