It's different in VA, but I talked to someone who is in TN and they said it asks if you are of sound mind (i.e. mental illness); they said to put yes, you are of sound mind. Unless you have something that can show up on a criminal background investigation (DUIs, drug charges, etc.) you need not put your mental health hx down. If you lie about DUIs and drugs though, that can get you in more trouble.
My psychiatrist did not say that I was not fit to practice. He didn't know me at all (one appt with me) and he put a generic course of tx (which half of what he put did not apply to me and my prognosis ended up being very mild to what he put.) I don't have DUIs, drug diversion, charges/record, employment problems, etc. I just have a mental illness and hx of alcohol abuse (I will be 7 months sober in 6 days.) Still got "approved contingent upon entering Health Practitioners' Monitoring Program". I just go with the flow and try and make the best of it. At least I know that if I get hired, my employer must have really wanted me (and is okay with me having a mental illness. Some people can't deal with mental illness. It's not my problem, it's theirs, but it's okay.)
I don't like that I can't use high quality hair products now, no Listerine, certain deodorants are out, no lotion, and salad dressings, I have to watch along with other food. I am exhausted with hating being in HPMP. I understand why the BON does it and I am happy that I have a license (and didn't get denied). I am not thrilled with being in it, but I am trying to make the best of it.
I have a count down going now. One is of the days (approximately) until I am eligible for healthcare employment and the other is the days until I will be done with HPMP. One day at a time, but hopefully, this too shall pass. Anyway, I hope I was able to give you clarification. I cannot speak personally for TN, but that's what someone who teaches nursing education told me.
But, just to comment on what you said about health hx in previous post; it is not protected by HIPAA. If it can have an effect on patient care, then it is not protected. Quick story--I am also certified as a pharmacy tech and originally, I was denied registration/licensure in VA. I requested IFC and sent a letter to the appropriate people and without an IFC, a committee approved my licensure upon staying in compliance with my HPMP contract (my letter was given to the committee.) So, ADA, yes and no. Yes, you would have protection that unless they had evidence that you are a harm where you are working (I had never worked as a pharmacy tech, so they didn't have evidence), but no if the law in the state says they can deny you for that. Hence, the outcome of approval upon staying in compliance with the contract. It's a happy medium. I am getting my license and they have something that assures them in protecting the public.