My littlebunny boy, gets hay for his bed. I have never considered letting him have fabric. Because, of the chewing. With hay he can eat his bed and it won't hurt him. He also likes to burrow underneath it and rearrange it. And I can always give him a new supply. Of course the downside is that my vacuum cleaner really doesn't like hay and Rainbow kitty is always trying to steal his hay. I think your bunny would be just as happy with some nice soft hay, besides if he feels lazy he doesn't even have to walk to his food bowl for food. He can just lie there and eat his bed.
Rainbow, Abbles, Carmy, Kissy, Peaches, Cream, (kitties) and Littlebunny boy (elder bunny)
the pic is the last one of my meecee kitty (5/9/89 - 1/9/08)