Yes I have seen disparities in my yes 35 years of wargaming, (Although you seem to think I'm lying about that) But they are very rare, they don't continue over more than half a dozen die rolls. You seem to think that the evidence I've presented of actual die rolls is irrelevant (I can give you the game number if you think I'm making them up as well)
The Random die roll system is perfect, it never needs checking, it always gives perfect results, that's your opinion, my experience of it, is it's flawed and can be made better, so it doesn't become the over riding focus of game like a referee who dishes out yellow and red cards like confetti.
All I'm saying is the random die roll generator can be programmed to recognise when it's gone terribly wrong and rectify it. It sounds like the same one is in use in Backgammon, with the same outcry from players there.
I do know what hex and counter games are about (Maybe you don't so I'll remind you) and they are about planning and strategy and tactical opportunities, what they are not about is a die roll system that gives one side a 2.93 average roll and the other side a 4.93 average roll. I can't begin to plan anything if I can't rely on the random die rolls being, oh I don't know, random.
It's so easy to fix, just program a flag into the system to self check and re-roll when things have gotten too one sided, we don't have to have games ruined. Games that last a long time that players have put hours of their time into. It's something that a game called Gettysburg 125th anniversary edition tried to do, by having a re-roll chit, once you used it you passed it to your opponent who then could use it in a future roll and pass it back to you.
My memory is not what it once was, but I think I'd remember a 2.93 to a 4.93 die roll advantage over 15 rolls and no, there as never been anything remotely like that. (But again I guessing you think I'm lying about that too)
I also guessing that you'll ignore message this too, your die roll system is so perfect, so flawless that no one should ever criticise it.