Soft, wavy, sheets will definitely be yummy scrummy rippy bitey nibbley material (hah, scuse the pun!) for bunnies.
Sheets can be used to cover something over (like an xpen) if they are high out of reach of a persicoping bun, but to be in immediate contact will be too tempting and asking for trouble…. Nic cubes tied together to make a wall protecter ?
But you’ve certainly got on a major project going on there !! LOL
Could you somehow make the ramp into a tunnel (so protection from flopping off the sides or going over the top) by attaching an upside down gutter… or suchlikes…. (just thinking out loud) a big wide diameter tube…. of something…. (sewage pipe? – unused of course!) or cage like material. I’ve cut up and folded into right angles sheets of wire grid (used in cementing walls and floors) . The grid holes are about 2 inches square so way enough prottection…. be careful of sharp edges.
A see through one would be more fun so you can see what’s going on – sort of like a hamster cage, but for bunnies…..