This claim is correct based on what the New York Times said about how "More people claim that their pets - weather dogs, ducks, peacocks, pigs, or alligators - are emotional support animals who help them deal with anxiety and depression and must stay with them in places where they would ordinarily be barred". This article explains the benefits of emotional support animals for people that they interviewed specifically and their experiences with animals helping them with their mental health. This claim is not misinformation and is backed up by the reliable source of the New York Times.