X's 2 on the Sawvivor. Whenever I am out with my stove, I always take it. It makes it so easy to cut larger dry pieces of wood that are up off of the ground, giving you more good firewood options close to camp. Larger firewood pieces also will burn longer in the stove than smaller branches that can be broken to appropriate length, which is really a time and energy saver I feel. My sawvivor with homemade sheath, two wood blades, and one bone blade is about 12 ounces.
When I'm going lightweight, I don't usually have it on me while hunting, as I will plan on a second trip to go back in to the animal from base camp or the vehicle in order to get the rest of the meat and antlers.