amills,
Carpenter axes have flat edges, forest axes have convex edges. Carpenter axes are used along the wood fibers, forest axes are use across wood fibers.
If the convex edge are to little convex the axe will behave lika a wedge - and go deep in to the wood and fasten there, and it can be a hell to get it out again
If the convex edge are to steep convex, the cutting edge will just bounce on the wood and not penetrate the wood at all.
If the convex curve are perfekt convex for a forest axe, it will go deep in to the wood -and bounce out again. This make it possible to chop of a tree with a fine rythm and with less power used.
Now, US and Skandinavia edge angles on knifes and axes are different. Our knifes have around 10-12 degrees per side and a very thin secondary hooning edge as cutting edge. I have use a chopper with 20 -22 xm blade for many decades, the cutting edge is total 26 degrees and it works perfect for me. My forest axe holds 35 degrees total edge.
In US it is normal with 40 degrees cutting edges on knifes. That is 5 degrees steeper then I use on my forest axe..
I use perfect convex edges, small force and rythm and save power and energy that way - in our type of trees/wood.
The important thing is to find the perfect convex sphere for your axe, it will probebly be about 3-6 degrees what I can see on your photos. Your edge is, what I can see, to steep convex - and you write that the edge do not penetrate the wood.
Convex is not just convex. Bark River knifes use 2-3 degrees convex edges on their knifes. Fallkniven use around 6 degrees convex edges, both per side. Those edges works very different in wood.
Let a skilled grinder make your axe edge perfect convex - and then hold just that convex sphere if it works good for you.
Thomas