Rest assured that "Do you own a gun or are there guns in your household?" will be a question on the Government Sponsored Health Care Option Application...............
As I've preached before, the way the Federal government "gets" people is indirectly through the paperwork. That's what the 4473 is all about (well mostly about, it's also about intimidation). Many of the BATF convictions are for "lying" on the paperwork, not for any actual crime.
SO.... if your health care forms become "government" forms, any falsehoods are punishable as federal crimes!
ANY FALSEHOODS......not just about guns......about any facet of your life you don't want to reveal, becomes punishable as a felony.