I don't specifically favor the hammer-grip, it depends on the use of the tool. If you read the review linked or that of the GSO-5.1 I provide images detailing the point. Think about what you typed - the Lil'C handle is too small for a full grip so to achieve a power-cut, you allow the spine-curve (something the Bravo 1 lacks, the HRLM has) to rest in the pocket of your hand. THAT is what reduces fatigue, using the pocket of the hand via that curve.
That IS a hammer-grip 
it is how the handle was designed to be held. But again, the Bravo 1 lacks that curve. To put full force behind the heel of the blade-edge, one will shift his hand so a similar position but without a curve the
hand is forced to fit the handle rather than the other way around, and it is prevented from a proper-choke by the spines of the thumb-ramp (which again are pretty non-functional as a striker) or by the sharp nature of the ramp itself. Remove the ramp and the handle still lacks proper curvature along the spine. And then, yes, it is very round and slick, easy to twist especially with wet/cold/tired hands, be it your index or your "long finger" gripping the handle. In the video I show how easy it is to twist vs the HRLM. When I am carving wood or cutting roots & vines (some of my most common uses for these knives), the grain of the material tries to dictate where the blade should go, often not where I want the blade to go. When I feel twist-force, i naturally clamp harder and relax when it is absent, regardless of grip-position. I may shift my thumb up the spine of the blade and leverage my thenar muscles into the cut. The bravo requires a tighter clamp because it is so round and the ramp impedes that leverage shift. When i use a scalpel, its flat handle provides easy indexing, lots of directional control that reduces hand-fatigue (and here we aren't talking about raw force, just dexterity that is also fatiguing). When I use a box-cutter, the shape similarly provides a lot of control especially right at the heel of the blade - see a thumb-ramp there? Nope. Here is an image of a number of smaller knives I use for myriad tasks. Which one do you think is most comfortable for maximum power at the heel of the blade? Which one provides the best indexing/control (i.e. least fatiguing)? Which ones are worst for each?
The Bravo 1 handle is basically a broom-handle with a spike. It is MUCH more comfortable in reverse-grip where the belly-curve fits the pocket of the hand and the fingers can avoid the ramp. The thumb-ramp provides maximum transfer of power and control
to the tip for piercing/stabbing/drilling... and that's all.
-First, let me say that I stay out of any opinions of the Bravo 1 as a model, as I don't have access to this knife.
"I don't specifically favor the hammer-grip, it depends on the use of the tool. If you read the review linked or that of the GSO-5.1 I provide images detailing the point. "
-Ok, that's fine with me, but it was the grip You showed in Your Video!
I have many knives, that rotates in the hand with that grip.
I rarely use it, not even when using a hammer.
I use a loose grip on most of my tools, as I find that to be less hand fatiguing in extended use. on long working days.
"Think about what you typed - the Lil'C handle is too small for a full grip so to achieve a power-cut, you allow the spine-curve (something the Bravo 1 lacks, the HRLM has) to rest in the pocket of your hand. THAT is what reduces fatigue, using the pocket of the hand via that curve.
That IS a hammer-grip 
it is how the handle was designed to be held."
-I have knives like the BR Sperati point, with glossy, oval, not curved or profiled shape and it works very well without hand fatigue.
" But again, the Bravo 1 lacks that curve. To put full force behind the heel of the blade-edge, one will shift his hand so a similar position but without a curve the
hand is forced to fit the handle rather than the other way around, and it is prevented from a proper-choke by the spines of the thumb-ramp (which again are pretty non-functional as a striker) or by the sharp nature of the ramp itself. Remove the ramp and the handle still lacks proper curvature along the spine. And then, yes, it is very round and slick, easy to twist especially with wet/cold/tired hands, be it your index or your "long finger" gripping the handle. In the video I show how easy it is to twist vs the HRLM."
-Yes I saw this and some models certainly locks better in Your grip than other models.
My experience tells me this is a very ineffective way to hold a knife or a tool, especially when cold, wet and tired.
I'm not fond of sharp corners, thumbramps or jimping and I round the spinecorners of my users.
" When I am carving wood or cutting roots & vines (some of my most common uses for these knives), the grain of the material tries to dictate where the blade should go, often not where I want the blade to go. When I feel twist-force, i naturally clamp harder and relax when it is absent, regardless of grip-position. I may shift my thumb up the spine of the blade and leverage my thenar muscles into the cut. The bravo requires a tighter clamp because it is so round and the ramp impedes that leverage shift."
-When the material tries to direct my cut, I stop and make several smaller cuts, where I am in control of the edge.
I onle see twist force, when I actually twist the knife and again my way of holding the knife, allows me to put more force into the twist.
Here the height and thickness of the handle come into play and a beefy handfilling handle works better.
"When i use a scalpel, its flat handle provides easy indexing, lots of directional control that reduces hand-fatigue (and here we aren't talking about raw force, just dexterity that is also fatiguing). When I use a box-cutter, the shape similarly provides a lot of control especially right at the heel of the blade - see a thumb-ramp there? Nope. "
-Agreed!
"Here is an image of a number of smaller knives I use for myriad tasks. Which one do you think is most comfortable for maximum power at the heel of the blade? Which one provides the best indexing/control (i.e. least fatiguing)? Which ones are worst for each?"
-I would need to use those knives, to really answer that Q!
If the knife to the right is an ESEE Izula, I have used it once.
It was outcut with a wide margin by my Fällkniven WM1!
I do have that model of boxcutter and several barrell handle Scandi's (Mora).
I seldom use boxcutters, but I have a folding model in my toolbox.
Barrelhandled Mora's are another thing and I have used them for more than 50 years.
Yep, they work for me!
Regards
Mikael
BTW that Scandi of Yours is a looker! :thumbup: