Maybe it's about the idea that dogs, like the characters in pulp fiction, can be full of surprises. Their personalities can be unpredictable and exciting, just like the twists and turns in a pulp fiction story.
Well, there might not be an obvious direct connection. However, in Pulp Fiction, the characters have distinct personalities just like dogs do. Some dogs are friendly, some are fierce, and in the movie, the characters range from cool and calm to wild and unpredictable.
It might be a rather random or creative statement. 'Dogs got personality' is a simple assertion about the individuality of dogs. 'Pulp fiction' could be just thrown in there to add a bit of a cultural or edgy reference. It could potentially be the start of a story idea, like there are dogs with these really distinct personalities in a world similar to that of pulp fiction stories.
One way could be through the concept of loyalty. In Pulp Fiction, some characters show loyalty to each other, like dogs are known for their loyalty to their owners. For instance, Jules might be seen as loyal to Marsellus in a way. And just as dogs' loyalty is unconditional, Jules' loyalty to Marsellus has certain elements of that.
There are definite connections. Both films showcase Tarantino's nonlinear storytelling and have elements of crime, violence, and dark humor. Also, the characters in both often have complex and morally ambiguous motivations.