Gee, it sounds awful doesn't it
"pathological" ... something I associate with "liar" ... or "bioterrorism"
Sorry, I digress...
Officially, you would say you have a "profound hearing loss" ... because these things are measured in loss
Pathologically, there is no such thing as "hard of hearing". You can have a mild hearing loss, a moderate hearing loss, a severe hearing loss, or a profound hearing loss.
Hard of hearing is a term used more for political correctness, than medical diagnosis. Most hearing people would call you hard of hearing if you can speak clearly enough to communicate in speech, and can follow a spoken conversation, because, well, you can speak! And understand me
You can't be deaf!
And most social definitions of "deaf" in the deaf world mean "with a profound hearing loss" (no reference to speech at all). But as you have seen, it is very open to interpretation.
On forms it is probably assumed that a hard of hearing person might need an FM system or live captioner, and a deaf person will need an interpreter ... assumptions, assumptions