That is true.
But when you entered the lottery as single yet fill out the forms as a family, you're telling the gov't that "I was lying to you, but now I'm telling the truth". Is this a strong position to argue against a permanent bar, should the CO choose to impose it? Is it an acceptable defense to say that the DV application doesn't warn you against lying?
Some officers are reasonable and lenient, others are tough and strict. The last time I was in an embassy the difference between the officer on the leftmost counter and the one on the rightmost was like night and day. The left guy was curt, unpleasant, and unbelievably paranoid. He had security bring back somebody that was leaving the compound for a baseless suspicion, arising from a simple hug between two ladies who got to know each other while waiting in line. The officer on the right was cheerful, pleasant, and even apologetic when denying a visa.
If a lying applicant gets the officer on the left, a permanent bar is likely. The guy on the right will just say sorry for disqualifying you, and politely explain why.