Appreciate the clarification.
I would think that if someone was persistent and reaching out for a candidate to try to "influence" the process, either the candidate, or more importantly, the admissions team, would gently ask them to please stop. Once in the military, they would probably get a big STFU from the senior enlisted or ranking officers.
My Dad is a retired 0-6, and taught at the Academy when he was an LCDR. I wanted him to not say a damn thing when I applied (he was a CDR then), or when my kid did.
I personally did reach out to the Director of noms/appointments when my kid was going through the process in his first round because we were really looking for some guidance, but only to see if there was anything that we could do to help find a nomination to fulfill his LOA toward the end of the cycle. There wasn't anything, and he didn't get in that round (c/o '25). Busted his azz in college, applied again, got waitlisted, and then appointment (c/o '26). Now thriving.
I'm betting that "back in the day" there may have been some shenanigans and old boys club stuff at the Academy, and I'm willing to bet there is definitely stuff like that in the backrooms of the nomination process with some Congressman, but I feel in my heart, and with the transparency required at the DoD level, that outside influence is highly discouraged (not too mention, probably illegal).
Just my $.02.