I've probably been on like 30ish dates from OK Cupid. Never ran into that issue. My 2nd date conversion rate from that site is something like 25%, with a 3rd date rate somewhere in the 9% range. Of the ones where there was no second date, at least half the time, that was my decision, probably more than half. The worst date I had on there was a girl who was 1:45 late to the restaurant, proceeded to tell me she was totally into World of Warcraft, and that she took joy in breaking up guilds and trolling trade chat. She seemed to assume she'd be getting a second date too, which, yeah, that didn't happen.
By and large, the girls I've met there have gone out with me because they thought maybe I'd be worthwhile.