Greetings.
Applewood is, as most fruitwoods always premium firewood. Even the wood of the crabapple tree is excellent. Very good wood for cooking, as it burns very evenly with consistent heat. The only drawback I can see is FINDING apple in any quantity. Mullberry is a good fencepost wood that resists rotting in the soil. It also is an excellent firewood. But take note that mulberry wood needs to be fully seasoned to burn well. Split and chimney stacked for a year, with the top of the stack covered with sheet metal or plywood to keep rain out.