I've been vegetarian for 26 years, pre-dating even my first go at transition. I've probably been using soy milk, mostly on breakfast, almost everyday since then. In addition I've eaten a number of other soy derivatives (tofu, tempeh) on a regular basis. Maybe, just maybe, it has some minor effect on my overall hormonal level, but it has not been anything significant that I could point to. Soy might have a more noticeable effect in cis women since they already have estrogen in their system, but in the male body it is fighting against testosterone resulting in a negligible, if any, effect. Anyway, my experience over two decades is no.