>>552052I work in the Swedish marines and I have a Khukri that I've used at work, mainly to evaluate what you're asking.
The first thing to do is to define the khukri. I have a Khukri house panawal khukri. It has a thick spine, weighs a lot and is made from truck spring steel by a nepalese blacksmith. This is the typical 'export khukri' that follows (one type of) native khukris, namely the model of the modern military khukri. There are, in nepal, a shit ton of different models. More on those never, they are just too diverse. The other model is the
>>552054 'machete khukri' made popular by, mainly, cold steel. It is, in short, a machete with a khukri shape. I have never used one of these but it seems like a choppier machete. Does anyone have an apt comparison?
Regarding 'real' khukris, the military export version, in short,
>>552072 has it right. If I was stranded on a deserted (or inhabited by hostiles) island and could only take one tool with me, it would be the khukri. It's almost as good as my gränsfors bruks small forest axe at chopping, but you tire faster. You can whittle and do other woodwork far better than with the axe but nowhere near as good as with my Fällkniven F1 knife, which in part you do not want to bring any trees down with. It's a middle ground and a good one at that. The downside? It weighs more than my axe and knife together and does neither task as well.
I sometimes bring it since it's good enough and I only have one axe if I think I'll need to conscript others into woodworking and building but for myself I almost always carry the axe and knife combination for work. Sure, it's two tools instead of one but they weigh less and do the job better.
tl; dr: Great tool if you only want one, get one if you want, but for 'work efficiency' an axe and knife for less weight and better versatility between the two are better. Also they look badass and will wreck someone.