When I was a kid my brothers and I went camping in Yellowstone Park. The guy camping next to us pulled out his axe and started chopping some wood. The axe glanced off and buried itself in his ankle and it was not pretty. I have never owned an axe but I have owned several chain saws.
I have done a bit of logging which is dangerous in itself but a chainsaw does not require accuracy which I am short on in most of the areas where it is needed. The only time I have really practiced accuracy was with a rifle in the military for obvious reasons.
I have a hatchet that is not sharp enough to cut me unless I accidentally get my hand stuck in a bears butt and need to chop it off to get away. It also works good for driving and removing tent stakes.
When I walk past the double bitted axes in the hardware store I think "boy those sure are pretty, I should buy one". Then I walk away and buy a pocket knife because I have a bow saw and a long cable, neither of which are dangerous. The pocket knife is for carving a heart with the words Jim + rocks in the tree for all to see.
Jim