Over at YT, someone posted link to a British Pathe newsreel about the Stargazer project, wherein a couple of Americans spent a long while in a pressurised capsule, elevated by balloon, in order to get photos of the stars (1962).
The essential takeaway that the hoax believer is taking issue with is the (obvious) graphic added at the end, which has a 'star' slap-bang in the middle of the shadow area of a crescent Moon.
I've had a search around, but can't find any online sources to a gallery of the original photos. Anyone have any pointers to where they might be?