Not so, and not misinterpreting. If you have a gooseneck or fiver, GVWR is THE most important spec that you will run into. Ford suggests GCWR that are often very difficult to reach without exceeding GVWR on an F250 Crewcab.

The OP didn't specify, but when he questions his axle rating, and how to increase it, I read that as needing more pin weight capacity.