It's possible you're thinking of a different show or documentary about the JonBenét Ramsey case.
Some notable documentaries about the JonBenét Ramsey case that aired in 2006 or around that time include:
* "JonBenét: An American Murder Mystery" (2000) - This is a two-part miniseries that aired on CBS. While not released in 2006, it was very influential in popularizing the case.
* "JonBenét: The Truth Uncovered" (2006) - This documentary aired on Court TV. It focused on the case and included interviews with people involved.
* "The Case of: JonBenét Ramsey" (2016) - This miniseries aired on CBS and was a more recent examination of the case.
If you can provide more information about the specific show or documentary you're looking for, I might be able to help you find the correct release date.