Chris,
I checked another source, Puttini's Fulvia, Flaminia, Flavia book.
It prints the homologation certificate of the Italian transport ministry for each variant.
For the 820.030 /031 Flavia 2000 Coupe there is only one carb the Solex C34 EIES (with all the information about tubes, jets, etc.)
For the 820.230 /231 2000 Coupe the standard carb is the Solex C36 EIES, and only as "Variante per allestimenti speciali / Variant for special applications" the Solex C36 EEIS.
I do not know where Angela Verschoor took her information from - maybe the Workshop manuals?
Interesting is the 34 / 36 question: Wim Oude Weernink in his Fulvia Flavia collector's guide gives for both the Flavia 2000 and the later 2000 Coupe the 34 size only, while Puttini's homologation certificates give 34 for the Flavia 2000, and 36 for the 2000 Coupe.
Maybe some Flavia owners will comment, and the Flavia consortium is also a source of further info.
(I had a Flavia 2000 Coupe from 1984 to 2000 and it had the EIES compound carb - once set up by a Lancia specialist worked very well!)