Consider it OPSEC - operational security. Lie. They have no need to know and giving them that information can only do you harm. So in spite off sitting there in your 5.11 vest, ESS shades, and NRA hat... When they ask about firearms simply and calmly say, why no, of course not. Do not have any qualms about withholding this information. The people seeking this information are not your friends.
bump
With that in mind, if one line in the 2000+ pages and associated regulations of indeterminate volume criminalizes giving false information, you will have handed them the stick to beat you with.
"Irrelevant question", and refuse to answer ( a refusal is not a denial, and you can refuse to confirm or deny that there are firearms in your household. The 5th is alive and well, even if owning a firearm is not generally a crime, under the new rules--are they even done writing them yet?--it might be.)
What concerns me is that the same classes of drugs used to treat depression are being used as painkillers, and that working the problem backwards, the Government might decide anyone who had been prescribed those drugs (even if just for pain) had a mental health issue and declare them as ineligible to exercise their RKBA.
Which is why I stick to aspirin, tylenol, or advil on the rare occasions I take a painkiller.