Seems weird that it would piss you off, if you were really that invested in the cold hard stats you'd know that if it was fair rng you could still have been the 1 in 100,000 player that got lucky on 75% 40 times in a row.
Fire Emblem does something complex with averaging random numbers to do the same thing - a 95% chance to hit becomes 99.5, and the reverse for low percentages.