I have problems with all other dogs but Basenjis. At first I got a little alergic at nights (because she claimed my bed) but after a while your body gets used to it and you don't have any issues anymore.
My Nika's eye got cloudy to the point of flicking your finger at it got no response then the eye turned blood red. Went to the eye vet and it turns out the lens inside the eye slipped. I had to give her other eye these very expensive eye drops called Xalatan or Travatan that kept the pressure down and the pupil small but even then the lens was moving around a little.
Technically, no dog is truly hypoallergenic, but because basenjis don't shed very much, and keep themselves clean all the time, they are good for allergy sufferers who want dogs.