I DON"T WISH TO ANSWER is an option. And, as indicated, you can always answer that you do not have a a disability.
This is not a standard question on applications for private employment. There are occasions where a VOLUNTARY disclosure is requested. If you insist I'll explain why but I don't want to take the time for that now. On those occasions, the individuals who receive the disability information are NOT the same people who make the hiring decisions and they do NOT talk to each other.
Additionally, those people who receive the disability information do not take any steps to verify it or to obtain additional information or to talk with the doctors or to find out what the diagnosis was. They're not interested in that; it is for statistical purposes only. Even if they wanted to, remember what you were told a page or two ago. I'm going to reiterate it here: THERE ARE NO CIRCUMSTANCES WHATSOEVER WHEN AN EMPLOYER IS ABLE TO GET MEDICAL INFORMATION OF ANY KIND ON AN APPLICANT OR EMPLOYEE WITHOUT THAT APPLICANT/EMPLOYEE'S EXPRESS WRITTEN AUTHORIZATION. They may, in certain circumstances, ask you for certain information to be provided voluntarily. They cannot force you to provide it and they cannot obtain it without your consent.
I'm sorry that you evidently believe we are lying to you.