When I said "meat," I didn't really mean the expensive nice stuff that people eat. I was thinking of some kind of meat meal, or venison from cleaning out a hunter's freezer, or something like that. When people butcher chickens or other animals, there are some parts that chickens can eat but people do not want to, and those might also be used to provide some of the protein for the flock.https://www.annalsofoncology.org/article/S0923-7534(19)40459-6/fulltext
Picograms - its not much. Certainly less than the phytoestrogen levels of some plants.
But you are right, generally not cost effective. OP is already looking to use fish meal as an animal protein source (and can go up to 10% with most not commenting on a perceptible "fishy" odor or taste component - see Justin Rhodes' recipe as example - though the industry recommendation is currently not more than 5%), but has already noted its expensive. Beef is around 75-80% water, so that 80/20 ungraded roast is really only around 16% protein by weight, and likely $6/lb...
If there is a reason to limit the fish meal (taste), then some kind of meat could be one possibility for making up the remaining protein the chickens need.
But if meat were to have too much estrogen, then there would be no reason to go looking for cheap sources, so I figured checking that would be the first step.