Your observations about "Type" are not necessarily accurate.
I have, for example, Verbatim CD-Rs with 0, 1, 2 and 3, 0 being 1x-8x, 1 being 1x-12x/16x, 2 being 1x-24x/32x and 3 being 1x-40x/48x. All used Azo dye, but Type 0 and 1 are "Metal Azo" and Type 2 and 3 are "Super Azo". Type 0 and Type 1 dyes look visibly different: Type 0 is a very dark blue with a purple tint whereas Type 1 is a slightly less dark but nevertheless still very dark blue without a purple tint.
Also, I have Ritek Type 0, Type 1 and Type 7. Type 0 was available in either gold/green or silver/dark blue, Type 1 was always silver/light blue (similar in colour to present-day TY) and Type 7 is silver/silver. Type 0 and 1 use cyanine dye and Type 7 is phthalocyanine.
The most interesting combination I have come in the form of Kodak Digital Science "Type F" CD-R and Kodak Digital Audio Gold CD-R. They have gold reflective layers and the patented Formazan dye which looks similar to cyanine in colour, so they are also a "gold/green" CD-R. The ATIP ends in '7'.