A thought I've been having is, I sort of get the LOI/letters sent to top 3 programs frenzy, in that, as an applicant, if, say, your #1 (or #2 or #3) is a program you interviewed at in early October, and by early February, you've finally come up with a final rank list, there's something nerve-racking about thinking you're ranking a program you're super excited about in your top 3, or even #1, but they haven't seen/heard from you in, like, nearly 4-5 months (this wouldn't apply to places you rotated at where they got to know you for a month, obviously, I wouldn't feel the need to "remind" them of me in that case lol).
It feels like sending a super short and respectful email encapsulating your excitement about the program to the PD (or APD or someone you interviewed with or someone you struck a connection with on interview day or since then who's connected to the program) with maybe like 1-2 specifics of why you're hoping to match there, is, I would think, a reasonable way to "remind" them about you, with the hope being that when they have either their weekly rank list meeting or a final rank list meeting of the season, with everyone - APD's and any residents involved in making the rank list, whether all the residents or a subset, I guess, depending on the institution - present, when they project your picture on a screen and people share their opinions, the PD (provided you're on the top or middle of their list and not DNR, obviously), it feels like, might throw in a quick: "Oh yeah, that kid emailed me, nice email, he seems super interested actually, what do y'all think?" And I would think may result in a bump up 5 spots or something. Or no move at all.
Idk, it just feels like, I'm not on that side of the decision-making, of course, but I have to think, if you interview 100 applicants, as one random number I picked out to make the math easy, surely there must be like 10-20 applicants that everybody was like: "Loved him/her", "Fits right in", "He's a hoot!" or whatever, like, everyone just agrees they'd be a good co-resident, good match however that is defined, great personality fit, etc., so that's the top 10-20% of the list, then maybe 5-10 that either everybody agrees they suck (not literally, but you know, simplifying things here) or one person in the group reviewing everyone has serious/major qualms about them, so that becomes the bottom of the list, and then, I would guess, the middle 60-70% of the list is probably a combination of "Who? Don't remember him/her. Oh yeah... Yeah, sure, he was fine" or "Oh yeah, that guy, he's cool, that'll work."
Obviously none of this excuses sending multiple #1 emails to several programs, that's a big no no, if ever found out would DNR you, and tbh, you just shouldn't do it cuz it ain't right, simple as that, but when thinking about it that way, it's worth considering sending a #1 email to your #1, and super personalized emails to your #2-#3, if only for one's peace of mind that you remind them about you (unless, of course, the program said on interview day NOT to communicate with them after the interview, and I actually like that approach a whole lot more, it just simplifies things so much). I haven't done either, just weighing the possibilities I guess (and I totally realize tho, if the program receives 50 of those out of 100 people they interviewed, well that's awash and then explains why those emails are useless).
But if emailing your #2-#3, I still would never use the "ranking you highly" wording, I feel it'd be a total turnoff to receive that on the other side. Sorry, rambling a bit here, but I'm a 4th year med student with lots of time on my hands to ruminate...