Butcher paper works as well as freezer paper for freezing meat. On average, a well-cut piece of meat that hasn’t been thawed and refrozen can last up to 4 years in a freezer. Ideally, you would defrost and consume the meat before this to make use of its freshness, but this is generally how long it can stay frozen in butcher paper.
However, there are some factors to consider before assuming you can wrap anything in butcher paper. The meat must be wrapped properly, with the coated waxy side of the paper on the meat with the paper side on the outside. It must be taped and properly sealed to prevent freezer burn, and then wrapped in aluminum foil for extra safety.
The better the cut of meat and the better the meat is wrapped, the longer it can stay frozen in the freezer for in butcher paper.