Like knives and guns, hawks are built to do some things better than another.
Handles - full wood handles can and do break if struck under the tool head. If this hawk is for camp craft and use on wood alone, they are sufficient. If used on metal as a breaking bar then a full tang metal haft is required.
There are a variety of hawk faces and shapes, how blunt the overall thickness and the edge geometry tells you what it was intended to cut well. Typical convex edges are for chopping and splitting wood, the serrated faces tend to handle composites and metal better.
The angle of the cutting edge may be from 90 to the grip (not necessarily the haft, that's different) or alternately in line with the butt of the haft. That is where you see edges angled downward so the hawk resting on the edge has the butt also on the same plane. Some consider that more ergonomic than a parallel edge.
The reverse to the hawk face can be a poll, hammer, or spike, some are straight, or curved to allow levering under an object to lift or break it. In those cases the head has a rocking curve from the upper corner of the hawk face back to the tip of the spike to allow it to roll thru the motion and make leverage have more efficiency.
A spike can and will hit you in the head on the backstroke if you are experienced with shorter claw hammers. DO NOT ASSUME THEY A JUST THE SAME. Go ahead, ask me how I know. It was a just a friendly reminder at best, I don't want to be that guy in an xray avatar.
Condor makes a hawk with rolled handle welded but it offsets the axis of the head to one side so that every blow twists in your grip. The round profile doesn't help at all, and the overall size and weight is a hassle. It's ok for clearing up brush ( and I wear a bump cap using it.) A good tactical hawk has a oval shaped handle, doesn't need paracord to puff it up or soak up moisture, and will be free of friction points.
Multipiece handles with rivets can and will be a potential failure point that can happen when you least need it. Goes to full tang handles with scales, or wood handles used poorly, too. A wood handled hawk can fashion it's own new handle in the field, tho. A broken two piece handle hawk becomes a short hatchet at best. Hawks do what they do with a longer handle to get the head moving at a higher speed - same as trying to hit a golf ball with a driver vs a framing hammer. Handle length is power.
Materials ARE important but you can go too far. Its a blunt striking instrument that may be levered, for the most part high carbon steel does well and alloys are generally an expensive step up for an incremental improvement only. Same for scales or handles - wood does well at the low stress end, full tang ok as a levering tool. How that full tang is secured and what it's made up getting bent and stressed needs to match the tools operating envelope, not the markets cool factor.
Now you have the list of features you can build your hawk from. And yeah, those Shrikes are a holy grail, but I live on a CRKT budget.
Not to forget - if you decide on a bright color to be able to ID it laying on the forest floor, sky blue is better than dayglo or hunter orange. A fall forest floor covered with bright orange leaves doesn't help seeing a bright orange hawk. If you choose earth tones or camo then oh well.