Interestingly enough, I had thought of a potential exception after I had posted, but that wasn't it... LOL I got to really thinking about it, and of course theoretical (as all above) and real world don't usually line up. The differences I found would have come from junction resistances, something none of us hit on yet. A few milliohms in each connection would really start to add up at high current levels.
But for the issue of sharing the load, I see what you're saying, and it makes sense. The issue arises due to the internal resistance of all the batteries (once again theoretically) being equal. The end batteries take a hit for really the same reason that a set that is just daisy chained (such as in Woof's diagram), but it's just distributed differently. The additional resistance of the jumpers compounds the internal resistance of the inner batteries.
Add those two factors together, and eventually, yes I suppose the ends will see more 'use' than the center.
LOL now my disclaimer: Either way, the effect is less pronounced with the opposing corner layout than with a straight daisy chain, and besides, heheh I think the words I used were "the super simple solution"...
I ultimately agree with all of this - If I were laying out a large, high capacity bank, I would use the bus system instead of the opposing corner. It's more expensive, but more solid - in a number of ways.
G - Sounds like just simple imbalance, and they happen to be in the center. I can't think of any other reason for it either... shrug... Switch flop 'em around just for giggles and see what happens...?
One other thing comes to mind - if they have been cycled together several (ok, more like many) times, and they are side-by-together to the point that heat can build up a bit more in the center than on the ends. one possibility is thermal aging that isn't affecting the outer batteries as much. Switching the ends with the center in this case would eventually correct, then of course, reverse the issue. Maybe?
Steve