After 3 years, people should love the site, and a sizable number of them should be coming to it directly. The fact that it has dropped out of existence and no one cares is a powerful indicator.
Imagine if StackOverflow was deindexed tomorrow. Its traffic would drop by 90%. People would be pissed at Google for it. Then they'd start visiting the site directly, because it's that valuable to them.
If users aren't pissed that they can't find you in Google you're not providing enough value.
It looks like no one is actually searching for your site:
http://www.google.com/trends?q=cardboard+connection
http://www.google.com/trends?q=hacker+news
http://www.google.com/trends?q=stack+overflow
BTW link shorteners are frowned upon on HN. The site is: http://www.cardboardconnection.com