Just buncha hunches here, but documented by a few whistles of widely varied builds.
To me it appears that the sharpness of the blade is related to the material of the blade proper. Softer plastics, and sharper blades give an extremely chiffy high end, and possibly buzz when pushig the low end, finally an ugly transition of this low end when gradually blown in second octave.
The exact same shape in metal may be perfectly effective. However, rigidity of the cutting edge of the blade still seem necessary.
Some rare whistles (Alba Q1) work really well with a perfectly dull blade: it’s not even sharpened at all, just square cut through the thickness of the metal sheet (tube). Of course, the window opening seems to need adjustment to get up in second register.
Related: the buzz one gets from plastic recorders, which are exact geometrical copies of hardwood originals, but these have a much rounder sound. The cure for these plastic recorders is the same as with pennywhistles: blunting the edge with a thin file or sandpaper helps.
Also, it seems to me this applies to the very cutting edge of the blade, where the material is thinned to the point it gets soft. After, the length of the blade seems to be more a question of creating “walls” around it, but the slope itself seems secondary.
I wonder if this could be interpreted by the cutting edge acting as a sort of free-reed.
To illustrate, I can compare a Copeland low D and my Le Coants, with its appparently recorder-like blade. On closer examination, one sees it has a blunted cutting edge, cut at a much steeper angle, making it closer to, say, a Grinter, itself similar to a Susato or Burke composite.
The Copeland (and many others) as you know as no “ramp” to speak of, except by its “ears” (walls) probably giving an equivalent result with the limit layer.
However, the cutting edges of the Copeland, Le Coant are rather similar with a steep angle. Interestingly, the Copeland and Le Coant have pretty similar sound “colours”.
As for cast plastic heads, where the buzz phenomenon seems to appear more frequently, it would be worthwhile checking if a hard coating material could correct it. Anyone ever tried bending a thin metal sheet, to shape it as a wedge, then glue it around the blade and ramp?
Else, would there be chemical coatings (or glues) to harden the blade of the plastic heads?