Nowhere in my previous post am I assuming PPLNS. I am actually assuming straight PPS. Please read it and try to understand it. Or at least look at the python script.
You were assuming straight PPS, I was assuming per block proportional. Do you see? We will never convince each other because we are both right, in the respective systems we think we are operating under.
Sorry, but you are wrong. You were not simulating per block proportional, you were assuming a wrong distribution for the time between shares.
Its not Miner A vs. the Pool and Miner B vs. the pool
Its Miner A vs. Miner B.
The distribution doesn't matter very much, because miner A and miner B both receive it the same system. I arbitrarily picked the averages out of the thin air. I can do that, because on the pool at any given time we can find miners all over the scale. That's why I can say miner A has this distribution, because no matter what, I can find a miner with that average.
To put it another way, its pointless to argue over weather miner A with average X would really distribute that way. Even if you are right, there is another miner with average Y who WOULD, and I can pick any of them since the competition is between the two miners, not miner vs. pool.