i agree it can be gamed but schools also limit what you can get a letter for - some allow an extra but some only teachers and counselor, etc. Anyway, we’re off topic 
Everyone has their opinion - in many ways yours trumps mine as I’m not a part of the admission process as you are for the school you represent.
I’m not making a judgement on your statement - although I don’t necessarily think it’s possible.
It’s why I suggest people quantify what they’ve done - but to your point, that’s just words on a paper. That said, I’d hate to dismiss someone’s hard work of several years just because they didn’t verify.
Anyway - good discussion but far off topic - you haven’t given the OP, assuming what they are saying is truthful, their chance - which is the point of the thread…not our one off but fascinating discussion. I’m sure they’d love to hear your opinion on their chances given what they’ve provided.