Ours doesn't have those rules, and I and my neighbors put all kinds of crap in there: tree branches, lawn clippings, rocks, disassembled furniture, rotten food. If it fits, it goes in. And our bins are pretty big, so a lot goes in there. The main reasons to bag are to prevent the bin from getting too stinky and to keep stuff from blowing out if the wind flips the lid. AFAICT, there's no policy about what goes in the bin, other than hazardous materials like batteries (which they plan for because a lot of people toss those in as well).