I've always been a bit nervous of them, though I haven't ever been able to come up with a logical reason why! I can't recall ever once hitting myself on accident with the pol of a large axe. Now I have done so with smaller axes and hatchets working on joinery, but never with a big one.
That said, I could certainly see some advantages to the tool, always having 2 different striking surfaces suited to different tasks.
However, I am heading somewhat in the opposite direction seeking to acquire an axe with a very narrow bit (2 to 3 inches) for notching.
Myabe, NH, with a little convincing on your part I could be persuaded to try a double bit axe some time...
It interests me the ways people use different tools and methods to accomplish the same task. I think that is a good thing, and am in no way in favor of developing any kind of 'standard' practice for hewing, joint cutting, or whatever else.