It occurred to me that there will still be a "Apollo 11 was a hoax" conspiracy ITTL. Except it won't be that the Moon landing didn't happen. It'll be that Neil Armstrong and Buzz Aldrin actually died when the Eagle crashed. Nixon and NASA faked their survival in order to bolster public morale after the Soviets won the Space Race.
The Apollo 23 disaster? That was an elaborate attempt to silence Gene Kranz and Michael Collins from spilling the beans. Collins actually died when the module crash landed on that beach, with a body double taking his place (just like with Armstrong and Aldrin). Apollo 24? That was to kill Deke Slayton, who doubtlessly suspected foul play in Apollo 23, if he wasn't involved in it himself — after all, wasn't it odd that a senior NASA official just so happened to get returned to flight status? Maybe that was his compensation for aiding the conspiracy, and "they" took the opportunity to ice Slayton where there were few witnesses. Tracy Stevens' rumored struggle with alcoholism? Stemmed from guilt due to participating in the grand cover-up. After all, it's not like Molly Cobb actually needed rescuing, especially not in the form of an implausible fly-by-stick interception. (And so forth.)