I also mentioned in another comment below that my general interaction with ESAs is people using it as a loophole to take their pets places and causing issues for people with service animals. You're right that there are certainly good cases for it and I'm sure plenty of responsible people with ESAs that aren't part of that group.
Yes. As you say those are service animals, meaning they are trained to actively help e.g. a service animal could be trained to detect acute distress and actively insert themselves into the situation. An ESA is just support.
> I also mentioned in another comment below that my general interaction with ESAs is people using it as a loophole to take their pets places and causing issues for people with service animals.
I completely agree that this is a huge issue. Although people will also misrepresent service animals as most states have no sanctions about that (it's rarer because there are usually expectations about service animals, and the available "range" is extremely limited e.g. a cat or a cockatoo can not be a service animal).
ESA are an accepted therapeutic aid for mental issues. In fact airlines require medical evidence under 14 C.F.R. § 382.117(e).