No, you still count as unemployed even if you haven't had a job for 12 months, as your own link attests. The question is whether you've looked for a job at any point in the past year, not whether you've held one.
More broadly, the US government publishes six different measures of unemployment, all of which can be seen here: https://www.bls.gov/news.release/empsit.t15.htm . The media usually focuses on U-3 (currently 3.7%), whereas the broadest metric is U-6 (currently 7.2%).
Your comment us needlessly pedantic, as I linked the full answer and said “~12 months” which is “about twelve months” which is not incorrect, though I’m sure the average is probably closer to 18-20 months for being removed from the U3 stat.
More broadly, the US government publishes six different measures of unemployment, all of which can be seen here: https://www.bls.gov/news.release/empsit.t15.htm . The media usually focuses on U-3 (currently 3.7%), whereas the broadest metric is U-6 (currently 7.2%).