Confirmed (Gt 6.14.20)
There is no Fine wire extruder shape plate, only a 1x transmission Wire plate.
Plastic does not have the flag to get Wiremill recipes (as it sensibly shouldn’t, that’s for ductile metals), nor does Rubber.
This leaves only the lossy cut up foil recipe for fine plastic or rubber wire.
While looking at this, I discovered ‘fine netherized diamond wire’ (matID 8746), the third and last fine wire that can’t wiremill, that somehow doesn’t have the cut up foil recipe even though it does have a foil, and is thus completely uncraftable. Did this material perhaps get shapes it wasn’t supposed to?
That hole seems intentional, as it creates a shape that reminds of twisting or braiding the fibres in order to make rope.