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So, I took a class during the summer, and summer grades have come out after I had screeners. For the firms that have not responded with a CB or ding, should I e-mail them to update them with my updated resume/grades?

I doubt it will do much good. Screeners usually have a fairly short turn around to callback and its likely your interviewer already submitted their evaluation. Unless the new grades appreciably change your stats, I wouldn't bother. You should update for firms you haven't interviewed with yet though.

Unless it's a substantial change in your candidacy, I'd keep it in my back pocket to use as an excuse to check up on your screeners a little over a week after doing them.

As it turns out, it's been 9 days after the screeners.