Great Pix!!
This is an 'advanced' examination, of powers that could stand for you, or dangerously against you. Mostly here for discussion, not for someone to try and hurt themselves:
On smaller/ light project like Mathias, i might try to Kerf Dutch lean side, but only if it has enough forward lean to throw thru that step, and use it, not jam. Then the lean face would push to center the whole time, sclallop the lower face on the control/non-lean side from front center to apex of faces on control side to really throw towards control side as face stayed open even longer pulling on hinge to control side and dutch pushed towards control side the whole time. Mostly this would be for education on how to do it with even smaller stuff in tree, and understanding the functions. A conventional knotch, with the bottom face dropped/scalloped out on the control side gives very distinct "machine commands" to the hinge/face machine in "machine language"(actually computer term, crossed over).
i really like Daniel's pull line lacing; i think it is maximum in 2 ways. In the leverage procuced, and then the way that force is then subsequentally enacted and used upon the load as a seperate maximizable factor. The increased leverage length from the hinge is easier to see, the more elusive detail i think is the increased arch on hinge. Any solid that arches leverages i think; in that, from the same power source, one end is moving faster than the other in the arc-ing. i think a lot of rigging is about seeing lil'easy points like this to maximum habitually, to cover all contingencies, and make the more efficient positions more practiced to sight out and use. Also as you get closer to total efficiency, the dynamic change per adjsutment is much more, jsut as any degree closer to balanced is(one of the ways when sniffing around to tell if you are on the right track?). This gives more positive reinforcement and education too. You can always pull less harder within the usable pull force, but not more, so setting up for easiest/maximized leverage increases range of power without cost;and is a hell'uva education IMLHO.