I see a cute little bun in your avatar! Is she a mini-rex?
Is she a good hay eater? My concern for when rabbits eat paper products is they are looking for easy fibre. Whereas, grass/hay is the best fibre for them.Some rabbits can get away with it. But Ive had one of mine develop gi stasis from ingesting too much cardboard from back when he didn’t eat as much hay.
Do you use bedding to line her cage? If so, it isn’t really necessary. Most rabbits will push it aside also.
If they use a litterbox, the bedding isn’t needed. If she also eats the litter, I would look at getting a litter screen to place over the top.
She definitely sounds like a chewer, so be sure to provide her different chew toys. She might enjoy destroying things like timothy hay or seagrass matts.You could even attach some to the cage side. There are little bungalow type things made of hay too, that they can sit in and chew to their hearts content.