This ticket  was closed because the Search API only goes back a few days. That is true, however this video is still unrealisticly popular. There are only 200,000 views on YouTube. Your API is saying there are 2 orders of magnitude more tweets than views (Usually it is the other way around).
Also you’re saying that this obscure video has 2 orders of magnitude more tweets than this video (one of the most shared of all time) http://urls.api.twitter.com/1/urls/count.json?url=http://www.youtube.com/watch?v=t4H_Zoh7G5A