Is it mainly in our nature to like squeezing a baby's face so much?

I see this cute aggression behavior more in us than men. Lets say I were to take care of this baby here:
Is it mainly in our nature to like squeezing a babys face so much?
This is what I imagine doing:
It reminds me of a squeaky teddy bear making this sounds:
Is this just mainly in our nature... to simply liking squeezing those cheeks so much?
Is it mainly in our nature to like squeezing a baby's face so much?
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