Thanks for the advice.
My friends and I are already in the habit of calculating averages and carefully considering the math when we've played A&A Global 40, but the dice often are such that we have to re-evaluate the situation.
For instance, last game I played as Germany and Italy and my ally Japan got into a defensive fight with the US fleet at Japan (SZ 6). The battle calculator gave Japan a 5% chance of winning but he won anyway, with two damaged BBs to spare. His three defending subs also all rolled ones. I just about fell out of my chair at the luck...
I'm honestly not sure I like the idea of low luck only because it seems to turn the game into a number crunching simulator. I'd appreciate some more food for thought on the topic though, since maybe I'm missing the point of it.