I could make a convincing case for every tool, from large machetes to 3 inch folders. It really all depends on your skill, your surroundings and the task(s) you want to perform.
I personally advocate a saw, a small blade and something to chop with, don't expect to be able to take an axe out and fell timber like a pro if you don't use an axe. This is where saws are great, it takes less skill to push and pull, no fear of missing or glancing blows. You can lose a finger in a heart beat though, so there is one thing to watch for and learn about before sawing, but it doesn't take great muscle memory to keep your hand out of the way, just staying aware.
Hatchets and axes are great for splitting, got big wood, get one and make it small wood, there is still technique involved if you want speed.
Froes aren't really discussed here very often, but they are another way of splitting wood, most use larger camp knives or choppers for batoning though, same principle, knock steel through wood.
Saws, well they aren't made for going with the grain, they pretty much sit pretty unless there's sawing to be done.
Every tool has a purpose, some are multi purpose.