According to the study, it seems that consuming regular really only impacted men who were overweight or obese. I'd be interested in understanding if this really had something to do with the men being overweight and something they were previously eating was causing their sperm count to be abnormally high for their level of health.
This association was stronger at the higher end of the sperm concentration distribution suggesting that soy food intake may have stronger associations among men with normal or high sperm concentrations than among men with low sperm concentration. Also, soy food intake was more strongly inversely related to sperm concentration among overweight and obese men. Intake of soy foods or isoflavones was unrelated to the remaining semen analysis parameters examined.