Great idea !
It is horribly dark and more often than not, misty, rainy, monsoon, or flat out hurricane weather here.
I have lights in the coops on timers, coming on at 5 AM and off at 6 PM.
The Calicium theory sounds like it would hold true...and I know the males need a bit more zinc than the hens, and not as much phosphorus and Calcium...hmmm, you have me thinking now.
But still, like the others, I have many many breeds, and none have ever not wanted to mount & mate.
Even the hens wanted to mate.