With a big Bowie or Chopper, I dont need an axe, machete, or any other knife for that matter. Its a matter of learning to properly use a big knife properly, once done its irreplaceable.
Mr. Lamey knows choppers! I have regretted not jumping on many of his knives when they came up for sale. It would be nice to be able to make my self what ever I wanted in a chopper to test, and experiment.
In my neck of the woods, Dan Keffler is another person who can really show what a large chopper is capable of.
I grew up with an axe. Splitting wedges, mauls, felling axes. My dad was raised a farm boy, and worked as a logger for a few seasons. We heated our home with wood in the winters. They still have years worth of wood stacked up. I have helped cut down, and process trees that were 4' in diameter.
For dedicated wood processing, in large volumes, I would not trade in a chain saw, and working set of axes.
When I use a big chopper, I am doing "fun stuff".
Shiny, pretty, and just plain fun.
When camping, I don't bring axes or hatchets typically (though vehicle camping I often do).
Last overnight canoe trip I took, I just brought a Cold Steel shovel, and large khukuri machete. The wood we were processing was Russian olive. Hard, Tough, and nasty thorns. It is not "axe" friendly from the standpoint of clearing chopping space, and de-limbing it. A long machete seems to work better. I have taken large choppers on that trip before, and the machete worked better for that specific work. (We always have a little hand saw as well).
If I was going into dedicated forest, I might opt for just the choppers and small knives (and likely a portable hand saw).
For some reason, I have laid out a lot of money on choppers, etc, but none on axes. I have hawks, but no hatchets.
I have been on campouts and realized that I had thousands of $ in knives in my bag. Just personal preference, I guess.
I have never had the need to chop down a large tree in the forest while camping. If I did, the axe would be the way to go if I did not have a chainsaw.