This thread is intended as a question to authors, but all comments are welcome.
First, I need to say I play FOG since 6 months and over, but me and my friend are "slow players"

Thinking about some questions about losing dice and seeing what kind of approximation this involve, I started to think if there was a different solution, more linear, and I thought to POA and quality re-roll. Both are linear and can apply to all rolls without the approximation that 1 per 3, or even 1 per 2, involves. Using just my imagination, and so without any statistic calculation or beta testing, POA seems a better solution, because it would be simpler than modify quality re-roll. About quality re-roll, which has been my first idea, you could make worse the grade of a BG of one step for disr, frag, disorder, severe disorder (always disorder and cohesion don't sum, but you get only the worst). Of course this is a problem with average frag, or poor disr or frag. I thought you can re-roll also 5s and 4s, with an effect of disr and frag similar but opposite to that of a general fighting in front rank. This solution is a little more complicate, but still feasible.
I haven't time to make beta test on these ideas, or even to make some calculation to find if are balanced solutions in game terms. Since I'm sure you thought to such solutions and perhaps also beta tested some forms of them, I wonder to know the reasons because you discarded them.