I think it will go up. Why? Many schools/states give the PSAT to all students for free, so the low scores in the past might be earned by those who really don’t care much for school or by those who aren’t thinking about college but just take the test because they are a junior and that’s what juniors do on that day.
This year, those students may not make the effort to take the test. Those who do take the test are the ones who make the effort. Colorado announced that the fall SAT and PSAT will be offered in school on 2 dates in Sept/Oct. Now the school districts are starting to announce no in person classes until Sept and maybe not for the first quarter (and then they’ll reassess). Those students who want to take the SAT/PSAT will have to go to school specifically to take the test (weekday test, not Sat)