Mastering,
I think the key difference here is that the phrase is "even without" and not just "without". I think the discussion at the following link is relevant:
https://blog.powerscore.com/lsat/how-to ... nt-matter/
In the present stimulus, the "even without" is contributing to make something like the following a good translation of the statement: "If she gets an A on the term paper, then doing the presentation is not necessary for passing." "Even without" is not setting up a conditional, but in fact
denying that a conditional is true - if she gets an A, then the presentation is not necessary for passing. Of course, if she doesn't get an A on the term paper, we can't say that doing the presentation
is necessary for passing, because that's saying that the negation of the sufficient condition leads to the negation of the necessary condition, which is just Mistaken Negation. And that's the problem here.
Robert Carroll