Why not run the solar panel wires directly to the batteries. You will never get enough continuous power from the panels to run much at all.
I agree. The power generated by solar panels is intended for the recharging of the batteries. During the day there shouldn't be much in the way of RV power requirements so hopefully what the solar panel produces will mostly be stored in the batteries. But the output from the solar controller will be going to a common "bus" so the power will go where it's needed.
One other point. The drawing is just a plan (haven't started wiring yet) and it's already out of date. For solar I'm using two 185 watt panels.