I agree but not everyone wants a pit or bully breed which seem to be consistent in the pet rescue groups. I have rescued, fostered and had pits/bully breeds in my past so I'm aware of the terrier mentality and the constant need to be stimulated, they are very sweet and loving K9s but at the same time they carry a stigmata of being able to tare you or a young child apart. One pit I had tore down all the tree limbs, from 5 feet down, on a path from the barn to the house. He'd hang off a branch and shake it until it became loose. Many times I had to get him loose with a bucket of water but he'd just go back the next day determined. He still needs to be stimulated and he gets along with all dogs, even at his ripe old age of 11.
But then there are the sweetest pit mixes that one day feel the need to have to protect, too much. Another rescue of mine lived with a friend. Very sweet boy, fawn with emerald eyes, would never hurt a fly, loved kids. Well so and so was getting off her shift, she worked in the same office as this pup called home. she was rounding the corner when the owner's husband came home, she didn't expect to see him and he startled her, so she gasped and squealed a little wouldn't you know it, the sweetest pitty jumped on her, clamped down on her arm that had been protecting her face and left her 12 stitches. The owners put him down, no way they were having him as a liability, I don't blame them. Recently a boy I know was playing with the neighbor kids who happen to leave the gate open to their yard. The boy shut the gate, knowing they had two dogs and was sure they didn't want them roaming. As he shut the gate both pit mixes jumped on him and attacked him. He also had stitches but was smart enough to lay face down during the attack. I don't know what happened to those pits, I wouldn't know how to feel as the owner of those dogs.
With a dog that strong, who knows what could happen. There have been times I was bitten by my dogs, even sweet beagles, growing up with them as a child, it can even happen during play.
When I went back to see the first pup I mentioned, the 11 year old, last November, he had no teeth and was having a hard time walking but he knew who I was, gave me a hoarse bay like "where the hell have you been?!" and then gummed the side of my face. That dog will forever be in my heart.
My SO is dead set against adopting a pit/bully breed as well as me being a mom, there is no way I'd risk my own flesh and blood.
Technically, my 4 pound wonder has markings that resemble a pits more. 
But also there are some dogs that are mixed that come into shelters, and an untrained person may just make the call and say what they think the dog resembles. I don't think there is any intentional attempt to mislead. I once saw a definite Jack Russell that was called a Cairn. 
JMO
