No, but it seems stock removal would be cheaper than forging. Granted I could be wrong there depending on the rates for getting blanks cut with plasma or water jet. You could also make the handles diy.
Latest version added a 1/4" in width to the handle.
If I may add some remarks.
Handle is too thick. 1,5" means that you wont be able to close fist on it.
Look at RMJ, cold steel, or SOG - hawk shaft ar not so thick.
yes - large falling axes have large shafts, but look at any hammer or other smaller shafted tool. Shaft are about 1" thick.
Because thinner shafts gives you ability to "flex" your grip during movement. One second it is full strength grip, then you loosen grip and tighten it again.
Edge shape
flat and straight - in fact it is most universal for smallish hawks. You got penetrating top corner and penetrating beard. Good hatchet work
symmetrical round - it is traditional war axe head. Works with long shaft, for "limb removal service". You also got agresive top corners and catching beard. In small hawk you got a lot of bouncing hits (not enough mas behind rounded edge )
downangled, straight or slighty curved - great for tactical hawk - top part of edge is deeply penetrating, edge can be used for pulling cuts. medicore for hatchet work.
there are tens of axe head shapes - it is worth trying some.
Material and workmanship?
Start with hardox steel. It is not best choice, but it should be easily available, not very expensive, its hardness is sufficient and you do not need to heat treat it.
Just laser/water cut (steel supplier can even do this for you) and slowly grind the edge.
And that is all, hawk is ready to be tested.