I think it's not the idea that they are breeding that is gross. What makes it gross is that their breeding creates a freaky mist over the entire country. What is Gods name could possible cause that??? I really don't even think I want to know.
I got the impression that the mist was just because the Dementors are out, not at Azkaban, and multiplying. Probably roaming around the countryside leeching emotions. If they eat good memories and feelings, I'll bet the mist is the visual manifestation of the lousy feelings and depression they leave behind.
In other words, the mist is Dementor poop.
LMAO! EEEEEEEEEEWWWWW!
What makes it gross is that [dementors] breeding creates a freaky mist over the entire country.
I think it's the cigarettes they smoke afterwards!