
I have an independant breed, but she adores company, the independance means they are free thinkers not that they are unsociable, quite the reverse. Generally no dog likes to be without companionship as it is alien to the species, as they are pack animals, so require human or canine companionship, preferably both.
Cats on the other hand are solitary by nature and are happy to share your lap, or go9 about their business, they are also less likely to be vocal about theri disaproval of being left.