So if you knew what I was talking about why did you cite those studies that had nothing to do with what I was talking about? Something doesn't make sense.
Yes, it takes a multi-ovulation for twins to happen (except for the obviously rare identical twin split embryo situation) and the bull’s semen (speaking of the physical semen, not the genetics in his offspring) doesn’t cause that. If you're looking for medical facts, that's how it works in humans with fraternal twins. The father being a twin has no impact on increased likelihood of having fraternal twins but does have an impact on the increased chances of twins in his daughters. As mentioned, the father can't make his mate ovulate more than one egg. Sure, it’s not cattle but as opposed to the two studies you cited, it’s contextual.
Edit: example...
Mating 1 - Twin bull bred to Big M’s cow
Mating 2 – Heifers from mating 1 bred to a twining bull
Mating 3 – Heifers from mating 2 bred to a twinning bull
All I was saying is that it really shouldn’t matter in mating 1 if the sire is a twin since there’s a couple million sperm in every ejaculate, it’s the amount of eggs they have to fertilize that matters. I wasn’t saying anything at all about matings 2, 3, etc. I thought my first sentence should have made that clear but if it didn't, I apologize.
Are you saying that a twin bull should sire more twins in mating 1 from that example? Do you have studies to back that up? The studies you cited were speaking of the increased rates of twinning in the females of those 2nd and 3rd levels in the above example. And again, that doesn't contradict what I was talking about at all.