Ok.
1) You need to calm down. I have been following several threads in which you have replied to people and you are very very negative. You do not own the residency application process for all of obgyn.
2) The people who have asked to switch dates are trying to find someone to switch dates with, and then would have to check to see if it would be ok with the residency coordinator, whose job it is to - coordinate people (applicants, residents, faculty) and activities (interviews, etc). I have interacted with many residency coordinators and most are very kind and willing to help applicants in order to accommodate needs and circumstances. Not all residency coordinators seem to be experiencing the kinds of stress you seem to be experiencing, so perhaps they are more capable of performing these switches.
If the switch works out, great. If it does not, then at least they tried by asking. The interview process goes both ways, and for you to presume that applicants do not have clinical demands or other interviewing obligations (as applying to residency is getting more and more competitive) is egocentric. We have spent years in school studying, memorizing, taking exams, and healing patients with our teams; hundreds of thousands of dollars in tuition and exam fees, and continue to spend thousands of dollars on residency applications, airfare, and hotels to interview. We have neglected our friends and families for this pursuit; some have even suffered through divorce or the loss of loved ones they did not get to spend that extra time with because they were studying or trying to save someone else's family member in the hospital. So we beg of you: be a human. Have some humanity. This is a bi-directional process.
3) Refer to point 1.