Hey there! I think you may have messaged me on my Tumblr but I'll respond here too.
I own basenjis because they aren't your typical "dog". They are quirky cat-dog creatures that make my life whole. They are small, clean, quiet and hilarious. I am not a big fan of dog drool and TONS of hair all over my clothes and house. I like that I can pick them up when I need to, I like that they take me 10 minutes to groom, I like that they aren't expensive to feed (ie not a great dane amount a food), I like that they think for themselves, I like that they don't hide their "emotions", I like that they learn quickly (even if they prefer not to repeat it over and over), watching them run makes me cry (no joke, I cry at Fast CATs lol), I love how they like to snuggle under blankets, I love when I have all 3 on my lap just happy to be near me, HEAD TILTS and yes, I do love how they look. My dogs do not have separation anxiety, are only "aggressive" with some strange dogs, don't know the meaning of the word aloof and all 3 are trained better than most of the dogs I see at work (i'm a vet tech).
They do have energy but like a lot of sighthounds (and cheetahs!) they GO GO GO and done. Mine just did some laps in the yard and are crashed on the couch. My adult dogs are pretty easy to live with, puppies are BAD but that can be said for any breed lol. My youngster shred 3 dog beds when I fell asleep on the couch the other day. He was bored and found something to do! My dogs are in their kennels when I am not home or I do believe they would destroy my house. My poor blinds have suffered many "OMG OMG A SQUIRRL!!!!!!" attacks. They have high prey drive and don't always do well with cats or other small animals. Mine are fine with the cat they grew up with but all others are prey to be chased. They aren't always as forgiving of small human antics like a lab would be. Gotta train your kids too.
I think a lot of the negative things actually do come from a good place. People LOVE their breed and are afraid someone will get one based on a couple of traits and the dog will end up being rehomed for being a basenji. I think a lot of people get carried away with the "ugly" part of "The good, the bad, and the ugly" and forget that there was a time when they were new to the breed. There is a problem with BYB/Millers telling people they are silent and don't shed. Perfect dog right?? BUT WAIT, there's also prey drive, destructive behavior, stubbornness, etc. So I think that makes people hesitant of newbies and want to be sure they know there is more to them than being small, low shed no barkers. I think you need to meet some before you decided if they are for you! Where are you from? I know many breeders.
So, to sum up my incoherent wall of text: I love my breed and it's true they aren't the easiest breed to work with but I wouldn't have anything else (well maybe an Ibizan hound LOL). Like any animal, find a good breeder you trust!