Okay Emotional Support Peacock (henceforth ESP) is almost certainly a publicity stunt and a pretty good one.
I suspect the only animal which can meaningfully play that role is a dog. Not even cats or parrots. Larger mammals could but would be inconvenient.
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Technically, anything warm and with weight that rests upon the human body, can be a form of emotional support. They have weighted blankets for reducing anxiety, for example.
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Presumably animals add an emotional attachment angle otherwise they’d just prescribe teddy bears and blankets.
Peacocks afaik, add no features beyond blankets and are probably worse than blankets. Unlike dogs.

