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Shlomo- I have to agree with you on the practicality of an axe or hatchet over the romantic image of the tomahawk. I recently bought a Gransfors Bruks Small Forest axe but have not yet had an opportunity to use it yet while camping. Actually it's just too dang hot down here in north FLA for camping if you ask me? I studied up a bit on axes before settling on my G.B. although you have mentioned a number of other good ones plus a couple I'm not familiar with.
Realistically, I think it's pretty impossible to find just one that's perfect for all needs. In my opinion, you need a long handled axe with a good 2 1/2 -3 1/2 lb. head for felling a tree (but I'd really prefer to use my chain saw for that) & cutting it into manageable sized rounds. Of course if you are in a survival situation you won't be cutting down trees and probably won't be carrying a chain saw or hatchet either.
The G.B. Small Forest axe will be great for limbing a tree and also for chopping up kindling. After that, a heavy maul is the ticket, as you stated, plus a steel wedge or two to split the rounds into halfs & quarters. A neighbor recently gave me his old maul which was in deplorable shape but I replaced the handle & sharpened it up, first with a file, then an oil stone using about a 30-35 degree angle.
Funny how one thing leads to another, but doing this stuff helps keep me in (somewhat) reasonable shape. I also learned a lot from watching You Tube videos on the subject & also reading "The Axe Book" which you can get for free simply by contacting a Gransfors Bruks rep. & requesting a copy. Their website also has a lot of educational info because it shows their variety of axes & hatchets plus various head styles, their use & history.
I already have a smaller hatchet but it's a "cheapy" and although it has been a useful camp tool, it dulls down fast and I wanted to own a quality small axe, hence my recent purchase.