Bends in the cable must be large radius and smooth.
No tight bends or kinks.
I've encountered factory cable installations
where using any or some of the factory cable hold down clips,
they put a very mild kink in the cable and cause that kind of bounce.
So mild a kink you would "think" it's ok, but no.
Remove the clip and let the cable find its "natural" position.
Extend the clip somehow to hold the cable in its/that natural position.
This can be tricky if the kink is up under the dash.
Not much room there....
By the same token, a cable that is unsupported and "floating" in space can cause the same issue.
It needs to be restrained, but in natural non kinked way.