A dog with a bad temperament isn't going to do much winning. Snap at a judge? Bye bye! Best case the dog is excused for the day. They need to be comfortable with many different people touching them and as I vet tech I can firmly state that most people's pets are NOT comfortable being handled/touched the way a well trained and socialized show dog is.
Precisely! If the handler knows what he or she is doing, it will be a non issue. I have always handled my own dogs at the vet's, and even the ones that were not comfortable with strangers behaved themselves. My show girl behaved in the ring when the judge examined her for the same reason. Behaving is a function of training, not temperament.
I do think Basenjis often get a bad rap because they will stand on their dignity and resent familiarity from people they don't know.......it used to be termed "aloofness".....but usually don't resort to physical aggression, more likely a snark and walk away. My Mom took my first Basenji to a Humane Society tag day, and when she received unwanted attention she just turned her head away from the person. If that person was persistent, she yodelled! Got a lot of laughs that way.