Sorry to check in late, but here is is.
The teeter-totter balance point is the center of gravity. This is the point of lowest MOI for any object. If your hand placement and physique makes the gun pivot at a point other than the CG, the MOI will be higher. There is a simple formula to calculate MOI at any point once MOI at CG is known (it is called the parallel axis theorum). This is how I get the MOI at butt. The formula is weight divided by 3.22 times the length from the CG to the new pivot point multiplied times itself (this length must be in feet, not in inches)plus the MOI at CG. Keep in mind that I multiply true MOI by 10 to get whole numbers and decimals. Otherwise, we would need to divide the weight by 32.2. I'll work an example as soon as I have a bit more time (maybe later this week).
MOI at butt is typically about four times as high as MOI at CG. However, if the hand placement causes the pivot to move only an inch or two, very likely, then the change in MOI will be relatively low.
I'm very happy to see such astute questions and some very good answers. You guys are getting it!!
Dig shot my Ithica NID 4E at the Southern 5-stand and now demands hand sanitizer!! Hey, Dig good to see you again. Oh, did I mention he shot it well?!!!
DDA