Last week, Wheeler claimed to have sources at either the FBI or the DC police department who apparently knew that evidence existed of Rich - who was fatally shot in July - contacting WikiLeaks but that an unnamed person had told investigators to "stand down".
By Friday, after follow-up questioning from CNN and NBC News, Wheeler had largely recanted his story, and Rich's family had rejected Wheeler's most explosive claim - that Rich's laptop was in police custody.
But on Saturday,Fox News host Sean Hannity continued to suggest that Rich was killed in a coverup.
Like Hannity, Gingrich confidently made claims about Rich that have not been proved and that the family has denied.
Police have investigated Rich's killing, which remains one of many unsolved murder cases in the city.
There is no evidence that he was "disgusted by the corruption of the Democratic National Committee," though last week, amateur sleuths falsely claimed that Rich had posted online as "pandas4bernie." (He may have tweeted as "panda4progress.")
There's also no evidence that Rich contacted WikiLeaks.
Until this week, conspiracy theorists had suggested that the hacker Guccifer 2.0 used Rich to get into DNC servers, based on possibly altered direct messages between Guccifer 2.0 and a model named Robbin Young.
The new theories, which were covered on Fox News even as the source recanted, rely not on criminal evidence but on the fact that WikiLeaks founder Julian Assange offered a reward for information about Rich's killing and gave a meandering non-answer when asked whether Rich was his source.
But as the investigation into Russia's role has picked up steam, Hannity and others have latched on to any suggestion that a source might emerge and link Rich to the DNC hack, though the FBI had spotted Russian-tied hacks as long ago as September 2015.