It may seem paradoxical but there's so many all-purpose designs out there that "all purpose" needs specific ranges described to match you up with what best meets the spirit of what you're looking for. For most folks something ranging between a boy's axe and a full-sized 3-1/2lb axe is going to fill that need best, but of all the axes out there, which one to pick? That's where knowing the intended contexts of use will come in. Fortunately there's lots of functional overlap in that spread of axes, and if you have to you can use any of them to get the job done, and picking one as "best" comes down to the one that best balances its features across those task ranges.