Paul,
I used to own both the BMF and LMF. Most of my first hand using experience is with the LMF. The neoprene type handle was very comfortable to hold. It provided sufficient cushion when using either knife as a chopper. The other nice thing about the handle material was it was VERY comfortable when cold and wet. I had one in my car when the temp dropped to 19 degrees below zero. The handle was NOT cold, even without gloves, to hold on to. Both knives have thick (1/4 in.?), heavy blades. I chopped quite a bit of wood with the LMF and it performed well, having sufficient weight to be a good chopper. The steel held a good edge but was easy enough to sharpen with a diamond hone. I was able to get them scary sharp. The sheath was decent. Lite weight and cabable of attaching to an ordinary belt, military webbing, backpack, etc. It had a quick release design, too.
I no longer have the knives but wouldn't hesitate to carry either one in the field.
I hope this helps. BTW, my BMF had the saw on the back of the blade. Pretty much worthless. Besides, it hung up when drawing the knife from the sheath.
Peace,
Tony