I agree. ESA are not Service Animals. People claim every type of pet from parakeets to snakes to be ESA. I am very anxious when I fly and my (RIP) Siberian Husky would have been of great comfort for me on flights. Never in a million years would I have even considered trying to pass her off as an ESA. Take Meds, meditation, therapy, a train, car, bus whatever, but don't claim an emotional need equates to a physical need.
A child with a dog trained to spot a potential seizure or diabetic incident? Yes, bring it on. A true PTSD veteran with a trained and officially certified support animal? Bring that too. Seeing eye dogs, welcome too. Otherwise, they should go in a carrier that fits under the seat or in a purchased adjacent seat.