I'm sorry, the research I reviewed on animal infertility was a long time ago. The studies that were from the first half of the 20th century in which this result was demonstrated on just about every domestic farmed species. I don't have time at the moment to track those down. But I don't believe this is 'broscience'.

The first place I'd look if you're searching for studies, esp. more modern ones, is actually the Weston A. Price Foundation. While they have an agenda for sure (e.g. they are currently suing the US prison system for malnourishing inmates, just to name one example of activism/ideology) I think they are generally good folks. They have sponsored some top-notch researchers, such as Chris Masterjohn, in the past.

Here is their scary soy page, which starts with a few citations. I think you'd find more in some of the linked articles.

https://www.westonaprice.org/soy-alert/

Price was a fascinating bro, BTW.

Please feel free to post here anything that you may find to be of particular interest.

I should add that most of these results probably don't apply to traditionally fermented soy (like natto or traditionally made soy sauce -- but not the mass produced stuff nowadays); as I understand it there is no traditional culture which ate soy in an unfermented form.)