Now that you've been thinking you got me thinking as well and that can be equally dangerous.
After I preg checked last year I had two cows who was obviously in calf, bred about 6 months, couldn't feel the cervix as it was over the pelvic rim, couldn't pull the reproductive tract back as there was obvious tension on it, couldn't feel a calf though, could feel some knobs that felt like very small cotyledons, but could not reach in far enough in two quite long, roomy cows to say that was what is was with any certainty. The arteries (or is it veins?) going down on both sides of the pelvic opening was pulsing, but I couldn't really say one was vibrating significantly more than the other.
I was baffled and asked the vet, he said that in some cows, usually older roomier cows a left uterine horn pregnancy can have enough room for the uterus to slip in under the uterus and is often almost squeezed left and under by the rumen untill as late as 8 months when there simply isn't enough space and the uterus and foetus slip under the rumen through to the right side. Not sure my explanation makes sense, but it got me wondering ...
a) if the usuall lack of room on the left side is what caused the cow to evolve in such a way that the pregnancy is carried in the right horn for more than 75% of the time?
b) why would the right ovary cycle so much more often than the left?