My guess is the heat is mostly generated in the trans, and the cylinders are getting a lot of heat from the fluid. The hydro fluid on a B7500 I had got very hot without the loader attached to the tractor while hurrying with the mower through tall grass. I did shoot some temps with a non-contact thermometer but forget what the readings were. It was hot enough that the steering felt "lumpy" when making turns.
I stopped mowing, kept the engine running and used a garden hose to bathe the hydro fluid coils and the steering returned to normal when the fluid cooled down.