The things that need to be clarified here are getting to be a bit silly. In regards to axes, a common felling axe, full size, was thinner in the bit grind than a Military in fact it was (and still is) similar to the Air. Axes, like knives, in the last generation have completely lost touch with functional reality in terms of geometry. If you don't have the experience of using an axe and you want a reality check, then read the bible on axes by Cook.
A felling axe, and against this is a full size axe, has an apex angle of ~15 dps, which is reduced very fast below that. For hard / dense wood like black spruce, the bit would be ~1/4" thick at 2" back from the bevel. If this doesn't hit you right away then draw it out on a piece of paper and look at how shallow of a wedge it makes. On soft wood like clear pine the bit would be much thicker to prevent wedging.
A boys axe, the 3/4 size, would be much slimmer and a small hatchet even slimmer again because the impact forces used scale down. But they all work on the same principle as having the necessary cross section to over come the resilience of the material otherwise they don't work. The same principle also is taken into account on non-chopping axes which are used for carving/roughing which also adjust the bit curvature to a flatter edge (less belly) as they don't need the shearing action of the curvature nor the protection of the toe/heel.
This again isn't just an axe issue, it happens on any material cut with any knife because the physical equations are always the same, the only thing that changes are the material constants of the media being cut. Thus depending on the properties of the material the geometry has to be optimized accordingly. Here are three kitchen knives :
-expensive Chutoh
-inexpensive PC chef
-dirt cheap Endura (ironic, that is the brand name - Spyderco should sue !!!)
-henckels basic line
If you use these on a carrot you get one type of performance in terms of work/efficiency rating. If you use them on a potato you get a different one. That very cheap Endura which has a very thick low/sabre grind actually cuts a potato with far less force than the Henckels which has a high flat grind, thinner edge and lower edge angle.
Again these things are of interest to some people and knifemakers who use complex grinds, transition bevels, chip breakers, etc. to reduce all forces on a knife. Now some of them don't understand the physics, often times I get sent a knife or asked a question as they are curious why it works and want to understand the how/why.
If you don't, no issues. I don't really care that much for example on bread making as I make it more so I can eat fresh bread and do so in really basic ways and I know very little about bread making. I have friends who take it so seriously they can't even watch me make bread, it is like I am committing some great sin of dough manipulation.
Different people, different interests.