They’re not used for these types of sports anymore, thankfully, but they still maintain the overwhelming majority of the traits that they had when they were bred for this specific purpose.
The original intention of breeders when crossing different terriers and Bulldogs was to create a kind with a combination of the resolute nature and agility of the terrier and the intuitive sense of the bulldog.
They were originally called the “White Cavaliers,” but after they were crossed with Staffordshire bull terriers, there were new colors like brindle, red, black, and brown.