In my imagery, a given tree with a given hinge position; all have the same hinge strength against the forward pull, no matter what the backcut/shape. Going even further, as long as the compression part of hinge(as real pivot) is in the same place, the hinges of same tree all have the same strength on forward axis at folding.
Because, the tree and pivot position don't change in the scenario, then the hinge must have same strength at first folding, for hinge strength is just a response/reflection to the sum of pulls/pushes (if using wedge) on it. So, same weight, length, angle on same pivot; all put the same forward force on the hinge hold/tension/stretch fibers that form strength. So pushing or pulling forward by outside forces of wedge and line strengthen hinge more; by placing more pressure on hinge; that the hinge responds to with an earlier folding/ more holding fiber/ more strength in response.
The tree folds forward because the narrow part of hinge is on forward/bakcward axis and has less leverage than the length across of the hinge. The the CG has to be on the right side of that axis. Cuz tree don't care which way it folds on narrow axis; so never walk behind one! It is how we arrange those chosen fibers at first folding, that controls the rest of the ride, and side to side leverage. But all the same forward strength/resistance; side to side resistance is by the arriangemeant/shape/positions of these chosen amount of fibers.
The tapered hinge chooses to reapportion the fiber distribution of this hinge so that the reach to farthest, tension fiber is longer leveraged distance from compressed pivot, places more fibers in these positions and 3rdly places these positions more inline behind the lean(so adjusts leveraged angle too). These fibers will have to stretch farther than the other fibers, and is why the high fiber on one side is on the front of Dent's bible on the subject.
Nature will take the most powerful route, so we can in hinge forensics note the most stretched fiber positions and predict the lean direction post mortem. A lot of times we will see the extreme outer corner of tapered hinge with most fiber pull showng this. Sometimes, the most stretched fiber will be jsut inside of this position, cuz Nature calculates that mixture of leveraged distance and angle(now more inline behind lean) to be greater power than the farther away fibers, but at less inline of an angle.
A tapered hinge will take a horizontal limb and get limb to slide sideways from over roof/obstachle; so works at most extreme leveraged position in this model. But an adjusted gun with face on top of horizontal limb will not make the limb travel sideways on a fairly horizontal plateau. So, doesn't show itself to work at all angles.
Adjusted gun works well on ground, but in air especially, i like tapered hinges and side dutchmans; so have explored them more! Because more cuts in air, and can reflect on the strategy at so many more different angles to get different glimpses of what is going on. like changing pivot of compressed fiber slightly is very powerful; for that can take away some length/angle from lean and give more length/angle to hinge(or the exact opposite); 2 adjsutmeants at once for a bigger/ compounding change. Thus the expression of a "pivotal change' meaning one of so strong/intense potential.
Palms aren't regular trees, more like "grass on steroids" (Gilman and Borschat). The face is very soft to count on the solid push of side kerf dutchamn for one thing; and the fibers pull out fairly easily IMLHO compred to 'real trees'. So, without the total resistance of the tension fiber; aren't going to shine as brightly in tapered hinge arena; but i still have gotten some of it from them. Now, a Live Oak; that is a completely different story...
So, in my book it is all mechanics; a hinge is a miniarature machine; and a tapered hinge properly done can give more length/angle multiplier to same generic fibers; that is more power by position, with all equal fibers IMLHO. Great effort but ya need sidelean to empower the the tapered fully; without that the results will be marginal/ not needed/ not used.
