Emergencies
I have an emergency box in my truck.
In the box, along with the other emergency supplies, there are three or four different kinds of knife (hunting, fishing, utility/bait, and a large -- like #12 -- Opinel), a light folding saw, and an all-steel Estwing 26" camp axe.
(There's also a tire thumper in there. You never know when you'll need to baton a knife through some emergency cheese & salami.)
If I had to overnight out in the woods up here, I'd collect dry fallen wood if I could. Right now, however, there's a blanket of snow over pretty much everything (no, not feet of snow, just inches), so random dry wood collection might be impaired. If I had to chop the firewood, the axe would be the go-to tool.
If I had to hike out, the axe would likely stay behind, depending on circumstances (it's not light), but in that case the folding saw would come. I generally have all the knives I'm likely to need on my person, but there's enough variety in the box to take up any slack.
If I worked at it, I could probably contrive a scenario where I might need to baton a knife, but in all my outdoor years I've never identified one.
It's good to know that I have that option, you know, if I've had to tear off my shirt to use as a tourniquet for a fallen friend, and my trousers for carrying water, and, uh, something ate my shoes, and all I had left was a knife and my underwear (pretty sure that chapter would be considered "badly written"), it's comforting that I could split logs with my knife by beating on it with other logs and then start a fire by rubbing my toe nails together.
However, since my caveman card is set to expire before too long, I'm probably just going to cheat and make sure I have an axe and/or a saw with me.
I mean, can you see me, aging and overweight geek, stuck in the woods and breaking my best knife? Can you imagine the consternation? Why, those dirty rats! I'm gonna grab my cell and file a complaint . . . what? . . . no signal? Crap!
It may be inconvenient to carry the extra ounces of an axe, but given the alternatives, I'll take it.