Malcolm Miller (Miller M, Quantitative Studies of Auditory Hair Cells and Nerves in Lizards, J Comp Neurol 232, 1-24, 1985 looked quantitatively at left-right differences in hair cells and nerve fibers of lizards. He wrote:
"Reports dealing with the difference between the number
of nerve fibers innervating the right and left ears of individual
animals are rare and the data inadequate for comparison
with my studies. Rasmussen (’40), in his study of 40
human auditory nerves, reported a mean difference of 4,700
fibers between the ears of individuals. A rough estimate of
variation obtained by dividing the right-left ear differences
by the mean (31,400) would be 15%, a value approximately
Sorry, I hit the respond button too early. Miller 1985 also says about different sexes:
"There is no correlation between hair cell number-and age
(age in lizards is proportional to the size of an animal
usually expressed as the snout-vent length), sex, or sidedness
(right or left ear) in any lizard species."
Otherwise I know that male and female humans differ in the occurrence of spontaneous otoacoutic emissions from the ear, but no-one has yet found a morphological correlate of that.