I'd argue that dogs are much more intelligent than cats.
Cats established a parasitic/symbiotic relationship with early humans. Your characterisation of that relationship is up to you (cat lover, vs dog lover).
Dogs established a master/slave relationship with humans. Humans related to this, and actively bred dogs to become more servile and more puppy like, and therefore more trainable.
Dogs - despite having their emotional/intellectual abilities stunted in some ways, have been bred in other ways. Bloodhounds. Shepherd dogs. Hunting dogs. A specific type of intelligence has been bred into dogs over the ages.
With cats, there is no difference between a Maine Coon and a Siamese. There is no need for cats to have been bred for intelligence. Their job (before Maine Coons and Siamese show cats) was to catch rats.
Sure, dogs also started like that but as they got specialised: rat-catcher vs bull mastiff they were selectively bred for a certain type of intelligence. Cats... not so much. Cat breeds are mostly for aesthetics.