Yes, over the years, the vast majority of my DD's friends have been of the B type. It makes her very lonely and sad. This is an area where we've had to do a LOT of discussion with her about the fact that not 'feeling it' doesn't mean she's a sociopath or anything-- it just means that her needs as a person aren't met by the relationship, and that the other peer in most cases just isn't capable (yet) of going there to begin with.
She seems to understand that last bit instinctively-- she seldom demands more than another individual can give (in fact, she is terrific with kids who have limitations, because of that characteristic) but I can see quite easily that most kids would need specific assistance with that.
Many other posters over the years have had their kids get angry/frustrated with peers who can't reciprocate what a high LOG child is looking for and offering.
