My doctors give me questionnaires with similarly invasive questions and I lie about them, too.
I am not giving them any info on firearms nor any reason to red flag me.
And the rest is none of their business as well.
FWIW, I wouldn’t lie, for a variety of reasons. I’d just refuse to answer.
I’d also find a new provider if possible.
While damning Big Med to hell for aiding and abetting Deep State.