An interesting discussion.
The image doesn't appear for me, but I suspect that you will find little change based on changes in LOP or at least adapt to it.
I say that based on my experience with a couple of different try gun fittings, playing around with a try gun I own, shooting a variety of gun stock configurations in my collection and my understanding of Yardley and other experts. I seem to be able to work for my purposes with variation of about 3/4" or more in LOP, of course I'm no Olympic shot so bear that in mind. LOP is definitely the least sensitive of stock dimensions though. I pay much closer attention to cast at face and drop.
Jeremy