Big bowies and axes have both been around for a long time, axes have worked their way into sheeple territory and are quite common. Anywhere you are going to want a fire and axe will be better, though in certain ecosystems I would rather a machete certainly.
It is all preference, of course, But a good axe will provide a lot more firewood then a chopper, IMHO.
About the gransfors bruks, I have heard the edge is too fine for chopping trees down, and is best for limbing. Is this true? If that's the case then I don't think it's quite the tool
everyone says it is. (I have a sfa)
RB, for cheap quality in axes, wetterlings are the ticket, though need some work on the edge apparently.
For choppers, not so sure on that.
Machetes are cheap as heck, you can get a good one for the price of a mora.