Maybe it was the tone of the earlier post, but I didnt intend to moan about bad dice rolling as some sort of metaphorical middle finger in my face from life.
(Though I will begin collecting the rolling data from 30+ games to make it statistically significant enough to actually test this.)
The intended question was are there armies or units that "benefit" from low rolling more than others?
Perhaps an army with 3 x Psychic Units, or a unit that is traditionally not-used because it requires too many Leadership (or low scoring) rolls?
There is always the option of
training my dice (the original thread escapes my search-fu) where I place the offending dice in the center of a circle formed by its compatriots and then smash it with a hammer....

The problem with this method is I think I will run out of dice quite quickly