Yeah, I think you're right, just add some noise and non-linear effects and you have your degraded image.
The comparison with VCR makes sense.
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.