I think there's a balance to be had and a lot of misconceptions on all sides of this problem. I'll go through some common claims people make related to the issue...
Claim 1: "blame the owner, not the breed."
I agree with this, but mostly because most people who get pitbulls really don't know how to handle pitbulls. Owners ARE responsible for their dogs actions.
Claim 2: "it's about training, not the breed itself."
This is where it gets difficult. The fact is, breeds of dog ARE bred for certain behaviors which must be regulated by their owners. This goes for bloodhounds, beagles, golden retrievers, and yes, pitbulls. What a dog is bred for will determine certain common behaviors within the breed. Most people do not struggle with a golden retriever being aggressive, but they may struggle with their tendancy to over eat. Likewise most border collie owners don't have to worry about aggression with their dogs, but they do have to put in extra work to monitor their dog's tendancy to be very hyper and nip people's ankles. These behavior are either intended consequences of their breeding, or accidental consequences.
So what are pitbulls bred for? High energy and tenacity. Pitbulls are popular fighting dogs because they will not give up. They're stubborn and when they get fixated on something, they won't let up. That's not a problem if that energy is properly channeled by the owner. However, in my experience, many people don't understand pitbull-specific needs that they need to address in the breed. They act as though they own a lab when they've got a totally different dog in their home, and are shocked when their dog suddenly snaps one day and attacks someone or something. Usually there were signs of such things before, but they don't have the knowledge to recognize red flag behaviors. For example, a woman in my county was mailed to death by her two pit bulls while laying in her bed with them, completely out of the blue.
Now, of course, most pitbulls do not do such things and every dog is an individual. There are lazy, couch potato pitbulls. But I think the people who are most familiar with the breed could tell you the difference in behavior between a pitbull and a poodle, and that would be breeders
I follow a dog breeder in social media who used to breed pitbulls, and she once talked about her experience and why she had to stop. They were the most difficult breed to manage in groups; they would regularly get into fights, be overwhelmingly energetic, and when one became fixated on something, every other pitbull would fixate on it too. It became too much of a hassle to even work with them, so she started breeding Cane Corsos instead. If you know Cane Corsos, you know they don't tend to be the easiest dogs to train for the average person, so consider the fact that this woman gave up breeding pitbulls for another kind of famously large, strong-willed dog and actually have an easier time with them than with the pitbulls.
Now consider the fact that the average dog owner would have a problem handling a breed like a Cane Corso, and the fact that pitbulls are the most popular breed. They don't know what they're dealing with, and so the dog is virtually let loose to do as it wishes with little discipline. In my opinion, that's why there are so many problem pitbulls.
Should they be banned? I'm not sure. I think people should have to have a license to get one though.