I recall a discussion I had about this very subject with someone who was an old hand at swinging back when I was a newbie. Being rather naive about it all at the time, I commented on how there were quite a few bi women in the lifestyle, but wondered where the bi men were (I was thinking in terms of the politically correct times in which we live, plus my g/f at the time was bi). And I got an earful. It appears that this is one of the big double standards, not only in swinging, but in society in general. By and large it's "OK" for a woman to walk both sides of the street (people will still tend to look askance at a bi female, but generally don't get into quite the snit about it that they do over bi males). But if it gets out that a man is bisexual, he is usually declared persona non grata by the group and ostracized. The interesting thing was that apparently there are quite a few bi men in swinging, they just keep quiet about it unless they trust you, for the aforementioned reasons. Also, I was told that the women did not get quite as upset about a man being bi as other men did; apparently the dumb s.o.b.'s think it will rub off on them...
As an interesting aside, it also seems that bisexual people catch just as much grief from gays as they do straights. Sort of like "the straights think you're gay, and the gays think you're gay but faking it, "in denial", etc".
Oh well, like the man said, "Never underestimate the power of human stupidity"...