@Nemo:
You're talking about native stock that people wanted to use and my perception is that you won't get much argument there. If people are using them regularly then they have significant value and could have impact to the breed as a whole. Going back to the original question at the beginning of the thread (and granted it started as a continuation of another thread), I believe the context of "one and out" comments were directed more to potential introduction of native stock of "lower quality" which do not have as much general appeal to breeders. If they have so many faults that you would have to do a "one and out" to compensate to get their "new genes" then what's the point? I think it all gets back to what individual breeders consider a "basenji" to be, it appears there is a wide range of perspective particularly when talking about native stock.
The problem with the original question, to me, is that the dogs to date used for "one and out", to get brindle, are the exact same native stock that other people wanted to use, and have used very successfully. With the exception of first generation pups from a fourth import and first generation from Tiger in the 60's, all brindle prior to the 2006 stud book openings was from Gangura, Diagba, and Mbliki.
All three have been successfully incorporated into ongoing breeding programs. One and out is a choice, not a condemnation of the dog's potential.
What I've seen in watching breeding programs my whole life, of a variety of domestic species, is that animals value as breeding stock varies according to who is using them and what they're using them for.
My upbringing was replete with stories of horses that were seen as no value by some, but turned out to be immensely valuable in breeding programs when they caught the eye of the right breeder. See Bazy Tankersley's discussions of *Sulejman, many of Lady Wentworth's discussions of many varied horses, the history of the Davenports, etc, etc. - also see Spencer Borden's writings on the Arabian in the US, etc.
Some rather obscure or even ordinary horses turned out to be spectacularly valuable in the breeding shed - and some horses with specific faults (Bazy's writings on using *Ranix comes to mind) were brilliant sires when used correctly. *Count Dorsaz was the better horse, and more important in her program - but she got things from *Ranix that were invaluable - e.g. the lovely Canadian Beau - and she has repeatedly emphasized how important *Ranix was to her program.
In Avongaras, some of the more ordinary individuals have been exceptional producers. I don't think anyone would have pegged Gangura as the star of his importation, but he turned out to be quite a good sire - look at his full Af son, Avongara Zindiko of Brushy Run - there is no question what breed Zee is, and no question that he is an outstanding individual of that breed.
Excluding Gangura, because he "wasn't pretty enough", would have been a horrible mistake, and would have cost us many very, very good dogs.
The criteria is not "an individual that I would use." There are tons of champions, including Best in Show winners, that I would not use if you gave them to me. I have a goal and I am interested in dogs that help me achieve that goal.
The criteria IMHO is "is this individual of this breed, and of sufficient interest to be used by someone." If they've put them forward, it appears that the answer is yes to the latter question.
Gorgeous individuals may or may not be good producers. Ordinary individuals can be very, very good producers, particularly when used well.
My excluding a dog because it isn't my cup of tea, although I believe it to be a Basenji, to me is equivalent to my saying, if I don't want to use it, you can't either.
Imagine if I tried that with domestics!
I do not think I am so smart as to be able to know every way every dog can be usefully incorporated into a breeding program, and I honestly don't think anyone else is capable of that either.