Most people who answered YES because they registered to vote are approved if they deregistered and showed proof of deregistration and not voting, and if the registration occurred more than 5 years ago.
But I'm not aware of any success stories of people who claimed to be a citizen for employment. That doesn't happen accidentally. Employers don't fill out the I-9 for you and pick the "US citizen" box and hand the paper to you to just sign, like what some DMV clerks do with voter registration.
EB3 ROW I-485 Approved: July 2007
USC: July 2013
I am a layman, not a lawyer. What I write here is not official or professional legal advice. In addition, my answers on this forum are specific to the scenarios discussed in each thread and should not be generalized to other situations.