When I first got into the breed, Reds were dominate color in the show ring in California.... Tris were typically sent to the back of the line or totally forgotten about, along with Black/White. Then after a number of years, Tris/B&W/Brindles out numbered the Reds and the other colors were put up and dogs were judged on conformation, not color. However to this day we still have judges that are tagged "Red or Dead"... LOL. To some judges they look totally for wrinkles and the Tris/B&W/Brindles it is hard to see compared to the Reds. If judges judge the conformation and note the ear set they can see wrinkles as the ear placement is to be high on the head and they should be hooded. If you look at the illustrated standard, my Tri girl is featured showing a proper ear/head and you can clearly see her Wrinkles. In order for the most part, easiest to see these are Reds, Brindles, Tri, Black & Whit. Here is a link, see page 9 https://www.basenji.org/BasenjiU/Judge/Study/Illustrated-Standard-2012.pdf
Breeders strive for the "correct" Basenji as far as the Standard in addition to Temperament and most important Health. Breeders do have preference to colors and will breed accordingly to their preference.
You will hear people say (and I am one) the Tris are "wicked".. LOL... not in being mean, but testing you just about every step of the way and making you laugh... but all Basenjis regardless of color make you laugh every day.... I love them all, just lean to Tris and Reds.
When there are questions such as Color and DNA, go to a Breeder for information.. and one that is a member of the Basenji Club of America (www.basenji.org) these are the people that developed the standand over the years.
(obviously not directed to you CrazySenji as I know you get your "kids" from a responsible breeder... LOL as my litter 4 yrs ago was a sire from your breeder)
To elbrant: contact a breeder, you might find exactly what you are looking for...