My rheum showed me an article he found amusing about EDS: a disease of intelligent middle-class college-educated women? Sure, in that you're not going to get diagnosed unless you have the resources and access and belief that you are right / enough faith in doctors that you persist and are respectable enough that you're not totally dismissed.
I really think it's just way more common than they think and that there's something of a spectrum. I go to a tiny school, maybe 300 total. I have at least two classmates who also have it and someone graduated last year who had it, too. I go to synagogue with a couple people who have it (my bestie saw me across the synagogue at high holidays and we had a moment of that 'one of us' feeling. Then a year later we actually met and yup, kindred spirits and both EDSers). I went to undergrad with a whole handful of people who have it, not that we were all diagnosed by then.
We're not zebras, we're just horses in disguise.