[sandstrom]

I cited the 2000 study because it was the first one doing this type of experiment at a very early age (the babies were 36 hours! old).

No, that's wrong, it was properly blinded:

  The videotapes were coded by two judges who were blind to the infant’s sex, to calculate the number of seconds 
  the infants looked at each stimulus. A second observer (independent of the first pair and also blind 
  to the infants’ sex) was trained to use the same coding technique for 20 randomly selected 
  infants to establish reliability. 

If you want more, here is another one on newborn macaques:

https://www.nature.com/articles/srep19669

Or this one, where adding testosterone to rhesus monkeys causes their female offspring to be "masculinized':

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3146061/