This is a great question. Uof SC is not starting early, but has eliminated fall break, will have classes (online) the two fall holidays (Labor Day and Election Day), and will finish up online after Thanksgiving.
Parents weekend is a huge deal, although a good part centers around the game and tailgating. If spectators aren’t allowed at the game (and with that, tailgates prohibited), many families wouldn’t bother anyway. I would expect it to be cancelled.