If you think what paper is, it is wood fibers "felted" together to make up the paper. Add glue to the mixture it can be pretty strong. Take a piece of brown grocery bag paper add a coating of TB glue, let it dry completely and try to pull it apart, not rip but actually pull as happens when a bow is drawn.
You won't prevent breakage with any soft backing but you can help prevent splinters lifting on the back which is probably how a break initiates in many cases.