While looking for more information on seed coat patterns and bean genetics, I found this bean research article and I thought it was really interesting and a bit easier for me to understand. The pictures, charts, and tables really helped.
"Seed color patterns in domesticated common bean are
regulated by MYB-bHLH-WD40 transcription factors and
temperature"
I saw that the UC Davis seeds are also on the priority list and this article is by Travis Parker et al (and others), so many of the beans included in the study are the UC Davis beans.
One of the findings was that in higher temperature environments, the beans they trialed had higher percentage of pigmentation.
So for example, for a bean seed pattern with white and a color, in cooler climates, there was a larger amount of white on the seed coat (lower amount of color/pigmentation), but in hotter climates, there was a larger amount of the colored sections on the seed coat.