I don't think the change in timing SAT scores makes any difference. You need to have a standardized test score submitted by Jan. 31. You can retake the test on Jan. 31 and, if those scores are better, they will be substituted.
I said that those with an INCOMPLETE package as of Jan. 31 could see a turndown letter. Incomplete means at least one element (other than medical and, quite frankly, other than BGO interview) must not be complete.
So, if you haven't submitted ANY standardized test score and are waiting for the Jan. 31 test . . . well, I wouldn't do that. I would submit your highest score to date and then hope for a better score.