This 10 year host and shareholder has had it...potentially I could never get sleep having to listen to infants every night if I were to follow the Airbnb policy. Per their customer service:
While I understand that your house rules state that the place is "Not suitable for children and infants", this does not mean that you are exempted from hosting reservations with children and infants.
In fact, refusing a reservation purely because of the presence of children and infants is against Airbnb's Nondiscrimination Policy. Hosts may not impose any different terms or conditions or decline a reservation based on the guest’s age or familial status, where prohibited by law. Hosts can disclose, as a heads-up, that their listing is "Not suitable for children and infants", but it is up to the parents to bring their children or infants with them.
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My listing is now snoozed for 6 months on the road to being deactivated.