The academic fraud at issue here is allegedly
plagiarism, and what you've just described doesn't even come close:
The vast majority of written work turned in by undergrads isn't original research, so the bar for plagiarism is pretty high. Unless a student simply copies and pastes large portions into his work without proper accreditation, there's usually no problem.
Having a tutor edit one's paper isn't problematic either, as long as they're editing original content, and not straight-up rewriting the whole thing for you. But even then, as long they're remaining faithful to the original content, it would be hard to get dinged for it.
In other words, plagiarism isn't usually a very nuanced issue in undergrad. You either ripped it off of wikipedia directly, or you wrote it yourself. Most "shades of gray" in there won't get you in trouble either.