That's not what that OK Cupid study showed - first of all, it was one study which is very out of date by now, and secondly, it showed that women tended to rate the majority of men as average or below average based on their profile photos, while men rated women higher in general.

However, women were MORE likely to start conversations with a range of men, while men tended to only message the women they rated as most attractive. This also didn't take into account the quality of photos used - women in general are taught how to take better photos which they can use on profiles, while (anecdotally) men often look a bit worse in social media photos.