In my experience, I have to disagree! I have a schnauzer and the lack of shedding means there is always going to be less fur or hair around. It might be the same if you put your nose in their back and sniff, but dogs that shed leave all that around the house, too.
Also being allergic to cats, I definitely notice a difference when people's cats are outdoor cats, indoor cats they clean up after, and those who have more cat hair than couch.
And that's when I found $5. True story.