I agree about the danger of the tree falling backwards (or sideways). Let alone what happens if a wind gust comes up at the wrong time. I routinely push over 20 to 24" oaks with my 44,000 lb excavator and there are times pushing 20 feet up that the tree has a mind of its own (or hits another tree or branch on the way down). You don't have much leverage with the bottom 5-6 feet of a 100 foot tree and all the overhung weight is up high. I see the guys sawing trees all the time with the excavator mounted rotary saw and the tree clamps and even then they sometimes have a tree go the wrong way. Just take a look at the steel cages welded over the operators cabs.....
Andy