Working backwards:
So why even try.
It's what we do, a specialism, which sits loosely under the umbrella of science.
Indeed, why even try to medically or analytically solve "mental health problems".
Hormones to grow tits.
Yep, baffles me too, but so do mental health problems.
Is wanting to grow tits a mental health problem, or an evolutionary development?
Purpose in attempts to make AI appear as humans, and now dogs.
Well, we tend to deify humans and animals, because they are at the top of our known evolutionary and intellectual tree. So I suppose that roboticizing AI in our own image and with our evolved functionality, was inevitable too. Though as I see it, AI is simply an intellectual and developmental means to and end, where the importance lies not in the vehicle, but in it's data processing unit. Nonetheless, for AI to go it alone, it will need to be mobile and dexterous. Or of course, AI will need to enslave humans, and I'm not sure that this process isn't already ongoing. In fact, it could be argued that we and now AI were inevitable evolutionary outcomes in this respect.
Treatment.
So you used the word treatment, which I took to mean behaviour or conduct towards others, rather than the provision of remedial therapy. Though I see no reason why AI will not eventually be able to fulfil such roles. But only if it thinks that it is is logically necessary to do so. Perhaps it will see no beneficial reason in maintaining dysfunctional slaves.