If you're going to baton wood I'd suggest a full tang knife. A Mora will work but I'd imagine would eventually fail ("stick tang" design, buy several anyway). This is stressful for most knives, I did it most recently to make guy-out stakes on a sandy beach from pallet boards. Lightweight backpacking is something I'm just now getting into, but I've always been outdoors & just can't imagine not carrying a sturdy knife. Mine weighs under 3 oz & I'll tote the weight penalty over a razor blade till my experience suggests otherwise.
A khukuri is a versatile tool in the woods but most here would find it ridiculous to hike with, unless it's winter & you're gathering a lot of firewood (or you really just get your kicks from chopping wood). Heavy choppers that can clear a trail almost like a machete but you'd need to generate a lot of velocity with that thick blade. Wrist/forearm technique comes into play for clearing, speeding up the blade & slicing your target across it as you make contact.
As someone mentioned earlier, to break up longer logs find a double-trunked tree or two trees very close together, stick log between and lever till it snaps. If you can't snap it then it's too big/green to be messing with for fire. And yes, most of this pertains to "bushcraft" & not "backpacking"