I'm not inexperienced when it comes to swinging an axe or hatchet, but I could not imagine wanting to use either to fall a tree, unless the circumstances were dire. Other tools do a far better job of bring down trees of any size. I've done a pretty fair job going to town on my fungal-infested dogwoods with a pruning saw, but I need to finish the job.
When I have used either an axe or hatchet, it's to reduce the size of a piece of wood or to remove some branches sticking out of it. For keeping with my BOB, one of these seems to be well-suited enough, and not a huge investment. For some of the tasks one might encounter during such a scenario, it seems like it might be just enough, especially with strong fixed blade knife and a multi-tool.
I would never want to work on wood that was fairly large and relatively green, with one of these. I prefer not to try and break my own b____s. If I am heading into the woods with a hatchet or axe, it wouldn't be one of these. For a BOB in my NYC closet, I like it.