I couldn't care less if they have a big dog. Larger dogs seem very happy in the apartment environment as long as they get exercise. It's usually the little dogs that tend to be high strung yappers who do not seem to tolerate their owners' longer work day absences.
When I am in charge of the world, I will not restrict breeds either, I will install a large Bark Park with lots of water dispensers, potty bags, trash cans, benches and agility areas. By the way, Great Danes actually do very well in apartments (even one bedroom apartments.)