It doesn't really work that way. What we need to hear is how you plan to use the hawk.
Here's the first issue - one is a spike, the other, a hammer poll. Sure, the hatchet bit will do the chopping, what do you plan to do with the other 50% of the tool? It makes a difference - spikes are more deconstruction and earth working, hammers more construction for inserting fasteners into wood or the ground?
If a spike, then one of the deconstruction uses will be limited - the handle protruding from the head keeps it from being used as a rolling pry bar for leverage. That makes the traditional spike hawk less a tool and more a weapon, but it's a sliding scale, not a black and white situation of being one or the other.
They both have a wooden handle - Pro, you can make one if you are in woodlands, Con, it's breakable, and might be broken just when you don't need it to be. That goes to your level of need - if it's a tool, there are other choices, if a toy, what fun.
Just some opinions, they are, of course, worth nothing. What do you plan to do with the hawk determines which one will fit better for the tasks involved. One isn't best, just better for what you will do with it.