I keep my six "better" axes almost as sharp as my other woodworking tools..... but not quite sharp enough for shaving.....
By the way I have an old american double bit axe laying around but I don't use it. It was brought home to the hamlet of Köklot by a returning emigrant sometimes before the war.......
Anyway it is petty much worn out and needs the have new steel welded into both edges to make it usable again......but as I find it pretty clumsy I will not put that much money into it.