Having had to traverse some of the woody undergrowth of southern ROK, I can say that in some cases a machete or an axe just won't do the job. My Chinese military "brush knife" (looks like an Al Mar Pathfinder with a cheap plastic grip, 1/4 or 5/16" blade) was a savior in the woods. My squad moved almost twice as fast as the others... though in retrospect, Getting to the ambush earlier wasn't much of an advantage.
The Axes and machetes of the other groups either took too long to swing-recover-swing(axe) or just couldn't take out a 3 cm woody vine with a good swing.
For a pocketknife or EDC? Use what you like. I love the weight of a well-crafted and balanced knife, and have shorted my own rations to carry the ones I liked most... While I got hungry, I never regretted the choice.