Abandoned by @Hornlarry. Good story that sets off a whole connected universe (but to explain how would be a spoiler)
To answer the question, I think most Fluffies would be programmed to recognised human infants as both human and fragile and therefore to be gentle with them, however more, shall we say, boisterous Fluffies might give a baby sorry poopies as an intimidation tactic, but I doubt they’d actively try to hurt one.