To add to the general knowledge base on this subject, my Busses measure as follows:
Battle Mistress-E: .659 centimeters thick, which is about 9/32 of an inch
Steel Heart-E: .685 centimeters thick, which is also about 9/32 of an inch
Paul's Hatchet (combat grade): .61 centimeters thick, which is just a hair over 1/4 of an inch
Satin Jack Variant: .475 centimeters, which is spot on 3/8ths of an inch
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While we're exploring this topic, I might as well give the thicknesses immediately behind the edges:
Battle Mistress-E: .143 centimeters thick
Steel Heart-E: .15 centimeters thick
Paul's Hatchet: .219 centimeters thick
Satin Jack Variant: .138 centimeters thick
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The results of the measurements immediately behind the edges surprised me, because of how they compare to information I had inferred from other posts I'd read.
For example, Buzzbaits review of the Satin Jack (in conjunction with his disappointment with the Natural Outlaw) had lead me to conclude that the 3/16" thick Satin Jacks had higher cutting performance than the 1/4" thick big choppers (Natural outlaw, Steel Heart, Battle Mistress) because the slimmer stock allowed for the blade to be thinner, and with a more acute angle, behind the edge. This is just one example of posts I'd read that seemed to indicate a consensus that the 3/16" Satin Jack has higher cutting efficiency than the 1/4" choppers because it is slenderer.
The reality appears to be otherwise. My Satin Jack has essentially the same behind-the-edge thickness, and essentially the same profile angle as my Battle Mistress, the ultimate difference in blade thickness being merely due to my Satin Jack only being 1.25 inches wide from edge to spine, while my Battle Mistress extends back from the edge at the same angle for another 7/16" before it reaches the spine.
I don't have a Satin Jack LE, but I must assume that Buzzbait's Satin Jack LE would actually be THICKER behind the edge, and/or have a MORE obtuse profile angle, than the 1/4" choppers. I say this because my Satin Jack variant, which has the same thickness behind the edge and the same angle as the big choppers, is flat ground all the way to the spine, while the Satin Jack LE has a high saber grind (I think that's what it's called) meeting the flat grind.
I am lead to wonder whether Buzzbait's disappointment with the cutting efficiency of the Natural Outlaw may have actually had more to do with simply getting one that hadn't been sharpened very well. (His concerns with handle size and overall weight being entirely separate matters.) In retrospect, that seems likely, because he mentions that his Natural Outlaw couldn't shave nor cut paper well, while my Steel Heart and Battle Mistress certainly could surpass that level of sharpness.
(By the way, I want to make clear that I am not disagreeeing that a knife with a slenderer and more acute geometry is going to cut more efficiently than a fatter and more obtuse one. I'm just noting that the Satin Jack, and possibly other 3/16ths Busse and Swamp Rat knives, may be equally thick (or more) behind the edge, and may have equally or more obtuse cross-section angles, than the large choppers.)
I'd be interested to see behind-the-edge measurements taken by others, to see whether they bear out my findings, or whether my results are merely anomalous.