I'm not sure they do.. but in general, I feel like when someone likes another who's quiet it's usually because of the mystery aspect; they're intregued.
It is easier for some people to just have a quiet partner because many people cannot have rational discussions and just prefer the "yes dear" type of person.
Overall though I found meeting new people almost impossible when being quiet.
There is the element of mystery that some women find fascinating but that is more of an animalistic attraction, as communication is very important to any degree of success in a relationship.
Agree Wey, communication is a must ...how else can one know the likes and dislikes....the views on varied topics..? When meeting new people quietness will only be a hinderance;))
Some do some don't, but of those who do, I imagine it's usually because either the other person wants someone who will just agree with them and go along with their wishes, or, that the other person feels that a quiet man is someone who has deeper thoughts and thought processes and doesn't feel the need to yack all the time
Looking at that picture, I would say it's more of a "challenge". Look at that "chic man-blouse", those fruity little shoes, the uncomfortable look on the cute little twinks face.