An additional note before I head off for the night:
your figure 9b, the excavated falchion which was on auction with Hermann-Historica, but did not sell.
I have documentation of this one, and its distal and cross-sectional profiles, and I'm afraid it does not fall into the type III category you propose.
its primary cutting edge is on the other side that you have assumed, nor does it does have a false edge on the clip-point; infact it possibly has a reinforced tip, though its difficult to tell as there is considerable concretion on it at that point.
Apologies if that's thrown a spanner in the works.
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