It doesn’t though. It’s correlation.
There happened to be a cribber around, so the same environment. Another horse in that same environment also started to crib.
Since there’s no specific gene identified, no, it can’t yet be proven that it’s always genetic. But, horses are pretty intelligent, and learn a lot of things by observing. Given that, it would seem like learned cribbing would be a whole lot higher than just 1%
Also, since there’s no identified gene, yet, that can’t be emphatically proven either.
Here’s the actual study in the above articles
Crib-biting in US horses: breed predispositions and owner perceptions of aetiology - PubMed (nih.gov)
TBs were by far the most affected. Right there, it points to a breed, and therefore a genetic, component. This is how we’ve learned that things like DSLD are genetic, before there’s a genetic test - finding out that certain breeds are over-represented.
The point about the many cribbing dams, without cribbing foals, also speaks to it not being a solely learned behavior. Like I said, horses are intelligent, and learn things by mimicking. Lots of foals share the same “quirks” as their dams, from holding a leg up while eating, to a certain type of head flipping when excited, to sticking out their tongues, etc. I brought a horse into my then-2-horse-herd who loved to splash in the water tub. In very short order, the other 2 were also doing it.
My TB mare licks her lips like a cat (she’s of the StormCat line, her name is Funny Cat, I think that’s hilarious!) and also raises a leg when she’s anxious-eating. Her son does the exact same 2 things. Her son lived for 9 years next to my WB gelding who licked his stall wall and door after every meal. But he does neither of those things. The WB did that his entire life, starting as a foal, and I long suspected it was the mildest form of “cribbing” that just never progressed because he always had great management (diet, turnout, etc).