I agree, it seems... desperate to email out of the blue. If i was on the side of reviewing, I'd probably see it as over-zealous. Someone who's anxious enough to make sure we know "you're my number 1!!" completely unprompted is not playing it cool and may be an anxious resident/intern and is fishing for information. I know this is a stressful process, but the algorithm is applicant driven, you have the power to submit your rank list as *you* want it, and it will try to satisfy you first rather than the hospitals. Just click submit it as you genuinely want it, open a beer, and relax, as its out of your hands now. Allygator, your experience sounds like it came out naturally in conversation as KC said, which is different.
I had a resident tell me that the match for residency is "the biggest insider trading event for the year", which I took as so-and-so on the residency review board of University of Transylvania is buddies with your mentor at xyz hospital and told them the U of T wants you and has you ranked #1, not from direct interactions from applicant to program coordinator. but who knows.