you can baton with an axe, buddy.
Yes, axes are different. What they do is more work for less effort, faster, which means you aren't depleting your core reserve of calories, and have them to keep you warm. That is safer than expending more calories to do less work and edging closer to starvation in the long run.
Our ancestors used light hatchets to do the wood work in our pioneering days precisely because they were the proven tool of their ancestors, handed down as the better answer. We just enjoy the luxury of having larger pieces of blade steel these days because of mass production. That has fueled the use of the knife as a wood craft tool, and it's inclusion in the survival kit for downed pilots then created the fantasy you could live off the land with one. From there, batoning was the only possible method of cutting wood in a safe, effective manner.
In the heyday of the hawk and hatchet, the user would gather what dry, downed wood he could - not cut down wet trees that were unseasoned. This the why batoning is really out of place and a fantasy - it's a manufactured answer to a problem that does not exist, and related over and over to show the knife's "capabilities." The historical fact that nobody did it in the day is ignored.
There is just as much risk of injury with a large knife as hawk - here's one example just this week: http://www.thehighroad.org/showthread.php?t=728123
If you are going to attempt to use a knife for wood cutting, you need to be prepared, practiced, and experienced just as much as a hatchet. Don't kid yourself that using a tool that is less well designed for the job is safer. It goes to not only choosing the right tool for the job, but also doing the right job for the need - sure, we enjoy going out and chopping up small trees, but in mature woodlands, there is always deadwood to work with anyway. Don't choose to use the wrong stuff, pick the appropriate source for your firewood and properly protect the area around it so that you don't wake up on fire yourself.
Our tomahawk toting ancestors had quite a bit if handed down common sense when it came to living out of doors.