Don't you guys think that comparing rope cutting results is a bit meaningless, because not everybody will use the same brand/gauge of rope?
Usually, the size and type of line being cut would be listed, i.e. 1" hemp rope. There is not really that much variance among rope brands and batches that it would induce a catostraphic skew in the results.
Also, testing done by a single user would usually be done with the same spool of rope, any variation would be minor.
The one factor that could skew things badly is the condition of the rope. Dirty rope is very abbrasive and can quickly wear and edge out, it is similiar to cutting carpet. Large diameter rope can harbor some suprisingly large inclusions, especially if it has been used in a logging or marine environment.
For that reason I only use new, clean rope when testing knives.
BTW, as for knives as choppers I would much rather use a large knife over a hatchet for most chopping chores. An axe is not a fair comparison. They are much larger and heavier than the knives we are talking about.
Large knives can have advantages over a hatchet for tasks like limbing or cutting small saplings, however it takes a very large knife to outweigh the head spped and leverage advantage a head has. As well, in very thick wood, the blade will strike along a much larger surface (whatever the length of the balde that contacts the tree), whereas the force of the hatchet is usually under 3". Therefore, You will usually see much greater penetration when using a hatchet.
In the end, whether the axe or knife is a better tool for a specific task is highly dependent on indivdual preference, strenght, skill level and technique. Efficient use of an axe is highly dependant on accuracy, which takes some time for many people to develop. For many people, including me, skill in use of a big knife is easier to develop ands safer. For that reason "better" is usually subjective as a normative statement.
However, in my experience, when you are talking about chopping wood, usually you are felling or bucking, for either of these tasks my tool of choice is a saw. Saws replaced axes for a very good reason in the lumber industry. Large blades and axes still have a place in my tool kit, but it is usually brush work, limbing and splitting.
I am currently testing a Ranger Knives RD9, part of the testing will be a direct comparison to a small axe, probably a GB SFA and an Estwing Hatchet [modifed], in regards to chopping ability as well as splitting rounds.
I do not publish the results of my tests here, because I have no desire to be the subject of irrelavent personal attacks, but will make the results available to those who wish to see them. Estimated time to completion is ~90 days.