Chance me!

Yes, it is easier for them to compare apples to apples. Not wonder what an 1150 PSAT NMSQT (not sure why OP didn’t take the PSAT 10 or PSAT 8/9 instead?) taken with all kids going to public and private vs an SSAT which only compares same test/same applicant group to competitive private schools.
I would say OP should talk to a guidance counselor, regardless, before making important decisions, rather than relying on a message board.