Fwiw, after our rabbit ate through the insulation on a power cord, we looked for stories of rabbits being actually hurt by electrocution. There's a lot more stories of them getting zapped and freaked out than suffering any permanent injury.
> stories of rabbits being actually hurt by electrocution
You won't find any, because electrocution is deadly by definition ;-)
Joke aside, I think when they reach the wire the contact surface is not very large, so they probably get a sensation similar to touching an electric fence rather than an electric shock.
Source: we had a rabbit when I was very young. I learned quickly not to touch some of the electric cords laying on the ground.