Err.. it is different this year with the SOAP. Everything is done through ERAS, your school is NOT allowed to make calls on your behalf (it is a match violation for the SOAP), and you are not allowed to fax anything or write or email to programs (violation) - it is all done through ERAS. Thus there is no benefit of being near your medical school.
Yes, I'm aware of that.
Based on my personal experience, having gone unmatched, there is definitely a lot of benefit to being near your school. You have less than 24 hours to figure out a strategy of what you want or hope to do. You will also need to discuss with your student deans exactly what you should (or should not) do during SOAP - do you take the first offer you get? Or do you wait? What should you do? Are these good programs? Is your dean (who may or may not be a physician) or your faculty mentor familiar with these programs? What questions should I ask when they call? Etc.
For me, the latter part was HUGE. My faculty mentor was familiar with the programs that were contacting me during the scramble, and he could steer me clear of malignant or otherwise "bad" programs.
Furthermore, many schools (although certainly not all) request a contact number for Match Week, as many schools will contact YOU if you go unmatched. Some schools page you, some call you on your cell phone.
The thing about the fax machine - even during the traditional scramble, I didn't use it very much. However, programs offered to fax ME things. The program that I eventually took a job with faxed me some paperwork that they wanted back ASAP. You should have access to a fax machine, just in case.
Finally, you're downplaying the emotional benefit of being near people who can emotionally support you through this process. Going unmatched is a huge blow to your ego, and a very frightening prospect. You will need people to give you a hug and morally support you while you're trying to rapidly re-figure your life out. Being in a different city, away from classmates, friends, advisors, and mentors, makes this difficult.
So, no, I think you're
quite wrong. There's definite utility in at least being in contact with your dean, and even a fair bit of benefit being near your med school.