If you're old enough to remember VCRs, consider: VCRs were also fully analog. https://en.wikipedia.org/wiki/Videocassette_recorder
The comparison with VCR makes sense.
They might have added some filtering to the signal, but from the photo, that's not the most important artifact that was added.
You get all this “automatically” by using much simpler circuitry doing the equivalent job of your “fine tuned” versions.
Vertical filtering can be implemented in analogue circuitry using line delays (this was done for standards conversion as an alternative to pointing a camera at a screen), but it's a lot harder than taking a photo of a folded-up print-out.
For artificial scan effects like the Earthrise photo, make an acetate overlay before some good old fashioned dark room dodge and burn making the print, and a slightly out of focus enlarger.