In capable and experienced hands, there is nothing wrong with a hatchet or an ax for any bushcraft or survival situation.

In a lifetime of hatchet and ax use, I prefer the hatchet or even a small forest ax over any wire saw. One step up and compromise from a wire saw, is a good quality folding garden saw.
_________________________
Earth and sky, woods and fields, lakes and rivers, the mountain and the sea, are excellent schoolmasters, and teach some of us more than we can ever learn from books.

John Lubbock