As far as I can tell, the predictor has the new medians for the 2021 incoming class loaded in. It had the 2020 in until pretty recently, not sure when they updated.
Former admissions officer here. You can check the websites of your schools under "Class Profile" in late August or early September for stats for the most recent incoming 1L class. The official medians will be released later in the year.
... now releasing their new LSAT medians as determined by the accepted ... standards set by the new medians until the well of unusually ... they'll consult the old medians for the remaining applicants, likely ...
I feel like the LSAT medians might dip down a little back to typical range because of how many people took it this past year but I'm really not sure. Also I was wondering where you saw the new LSAT medians?