All the applications I submitted stated that it's my responsibility to inform the school if any of the information included in my application were to change.
I read that on all of my signature pages as well, but it is kind of ambiguous because I don't think they really want to know if I am applying to an additional school that I didn't initially indicate. That is why I starting searching the web, however I don't think my opinion is that
relevant so I would check with your pre-law advisor.
The way I figured it, they would ask for the grades if they needed them in the decision process, and most schools simply state that upon enrollment you need a transcript with certification that you have graduated, and none ever mention having to specifically send in Fall grades.