It is true, Beckers don't come with a very square spine (at least none of mine have). Given, its not round, but its not a perfect 90° spine either. A little work with a file/grinder/stone or sander of some kind can give you a square edge pretty easily (same with the Mora actually, most of their lineup doesn't come with squared spines. The bushcraft line does though.). Also, I have no idea if the ESEE knives are square on the spine, as I don't recall hearing anyone else say either way.
If you're still looking for a Hatchet, you might try an Estwing. They can be found locally at many places (home depot, etc), and are a good solid USA Made Hatchet, and they usually cost around $35 or so.
The SCHF37 is also a somewhat different type of knife than either of the above. It outweighs the BK7 (which was designed as a replacement for the venerable Kabar 1217 USMC... aka, a fighting/utility knife) by a good few ounces, and is thicker with a lower grind than either of them (which should mean it isn't quite as slicey overall, but should baton better for sure)
The big reason I like Becker knives actually, is the ergonomics. To me, the handle design is very comfortable (never once had a blister with a Becker knife, and I don't wear gloves). I also like how they have an integrated lower guard (the front of the handle just prevents your finger from touching the blade), and the rear part allows you to use the rear grip with 2-3 fingers on the main blade, and get a much better swing for chopping (with a lanyard of course).
So personally, I think the look of the handle on the schrade looks uncomfortable, and to me, the Beckers are worth the extra price alone for their ergonomics (let alone their other qualities). Of course that will vary by person to person, but its worth thinking about, as how the handle feels is a big part of a knife design

.