In the beginning, there were GIFs created simply using Apple's CoreGraphics library. This was called the "None" algorithm.
Then, eventually, dithering was discovered, but not fully understood.
Then, in GIF Brewery 3.3.1, ordered dithering was meditated upon and color quantization improved.
Then, in GIF Brewery 3.4, sierra dithering was re-investigated and ordered dithering adjusted with the new knowledge.
Exciting conclusion after this click! (Actually, the file size is just too large for Github.)
Great breakdown!