ESAs and fake service dogs can be any breed, size or age and do not have special training to perform a specific task. They often do not have even basic obedience training or socialization. Real service dogs and assistance dogs go through a selection and training process that assures they have a docile temperament and are trained to never act aggressively, even if attacked. When I took my most recent flight, I saw multiple "service dogs" in airports that were obvious fakes wearing a vest from Amazon. When that chihuahua yaps at everyone passing, you know it's a fake.
This is not entirely true, but I found it amusing.