I think the more important issue about adopting a Basenji revolves around their unique personalities, not their possible (and spurious) non-allergenic characteristics. Basenjis are indescribably UNIQUE. I have a 3/4 Basenji, but she is a total Basenji, through and through. To the potential adopter: are you prepared for unbridled destruction, an independent personality, the need to RUN (we B owners acknowledge the Basenji 500, an indoor Olympic-style run around and around and around the house, over beds and chairs and couches and tables and cats. It's pretty funny and totally delightful, but it emphasizes the need for Basenjis to run, like they're chasing prey in Africa.
Basenjis are notoriously destructive. I was associated with a group of B owners who regaled in the destruction wrought by their dogs and awarded ribbons for the best destructive Basenjis. (My Izzy has several ribbons--she was SO bad, early on). The point here is, it's a special person who adopts and embraces a Basenji. You can't zero in on allergy issues, because those are the least of your worries. These dogs are independent-minded, therefore, not easy to train; they are escape artists and should not be off of the leash; they are totally stupid when it comes to traffic ; they are hunters in Africa, so they are all about chasing the prey, and that's why you keep them close by and tied tight.
You need to research this very special and unique breed in depth before bringing one into your home.