I always open carry loaded on BLM land, it has always been during the regular shotgun turkey or Rifle Deer seasons. I have been stopped a few time by wardens to check for a plug in my shotgun and the capicity of my rifle. Never have they even asked me if my sidearm was loaded.
I would assume the fact that you can dischage a firearm for hunting puposes makes loaded open carry legal. The actual discharge of firearms is not prohibited. Only discharging firearms soley for target shooting purposes.