For this to be biological and not cultural we would need to see evidence that this happens before baby/infant primates are old enough to observe their parents performing similar behaviors, or when raised in isolation. The only citation here that matches that is the first one, and even then the experimenter was a part of the experiment and not blinded to infant sex, so there is a major possible source of bias there, and more recent papers appear to contradict this effect [1]. Rather than cite one-off studies from the 2000s this is a situation where a meta-analysis or review would be ideal, but I don't see one in a quick search. If you are aware of one that would be helpful to better understand this claim.

https://www.sciencedirect.com/science/article/pii/S002209651...