As mentioned by someone in an earlier post, most times it's a matter of perspective. You say you'd take the word of your daughter if it were her that quit because she felt she was the victim of hazing or similar mistreatment. Not saying your daughter would be lying for saying this to you, but it's quite possible that it's just her perception that she was being hazed. When in reality, she wasn't.
To answer any of yours or other's hypotheticals on this thread, we'd have to all agree on definitions. What you consider hazing, others here may not. Maybe the academy doesn't either. So who's correct with their definition. By societal history, generally the definition that is accepted by the majority, is considered the accepted definition. I don't consider a cadre in your face, telling you you'll never make it, asking if you miss mommy and daddy, etc. as hazing. I don't consider doing additional push-ups, running, redoing your bed, etc. as hazing. Nor do I consider it inappropriate behavior.
The academy teaches their cadre where the line is that can't be crossed. You say that you would take your daughter's word over a blanket statement that it can't be, because it rarely happens. Well, I would probably be skeptical, being the average is 95% make it through BCT without any hazing complaints, and the majority of this who do quit, tend to rationalize a story that is more accepting in their social environment.
Not that this matters at all, but I've known and spoken to 7 individuals who quit the academy at different points in the process. 4 during BCT and 3 before commitment. Only 1 of those 7 said it's because they realized the academy just wasn't for them. The other 6 came up with reasons such as the academy didn't have the major they wanted, they didn't want to break up with their girlfriend, they knew they wouldn't pass the flight physical and only wanted to fly planes, and a couple more that would really shock you.
The point is, it doesn't matter what could happen, what does happen, or anything else along those lines. What does matter is, unless an individual truly feels they are being hazed, discriminated against, treated unfairly, etc. and presents that to the chain of command for investigation to prove one way or the other, then I will have to side with the 99+% who either made it through, was let go for medical reasons, or left because they realized the academy and/or military wasn't for them.
As a military member, the first oath I swore, was to protect and defend the constitution. That means an individual, or even a system or institution, is innocent until proven guilty. Unless the individual making these allegations against a particular cadre or the academy at large, is willing to confront the academy so the allegations can be investigated, then I will accept the cadre's and the academy's innocence.