Yes, but the difference is the animal is a prescribed as part of a course of treatment for someone's mental health.
I expect not waving this is what the rules change actually is, because I don't think the DoT can just decide the ACAA is not a thing.
For a service animal, the airline can only require
> identification cards, other written documentation, presence of harnesses, tags, or the credible verbal assurances of a qualified individual with a disability using the animal.
Although it should be noted that only 23 states prohibit misrepresentation of a service animal, the main difference being that service animals are rather obviously limited as they can only be dogs or miniature horses (an other thing which makes me doubt the complete veracity of the article).