I doubt that there is a critical mass if any students who are applying to college this year with the Old SAT. You having a 33 in the Critical reading will make you ineligible for BOP as 93% of students attending have submitted ACT English scores between 30-33, where 1% have ACT English scores below 24.
While your SAT score is 1200, your EBCRW score is 700 which is above the cutoff for HEOP/BOP
I personally have never had a student that was admitted with an 85 average (which is a solid B, 3.0 gpa student). Most of the students that I have worked with who got in to Barnard HEOP had averages way above 90 (most 95+). The purpose of opportunity programs is to look at students who have been academically and financially disadvantaged and with supports, they can be successful and graduate from colleges where their grades and scores normally will not get them admitted. There are plenty of students who attend Title I schools that don’t have money, access for SAT prep courses (they cannot go home and do Khan academy because they may be working to help support the family or have charge of their younger siblings). Their strong grades in high school talk to what they are capable of doing. HEOP/ EOP students will usually attend a summer program (up to 5 weeks) to help build the skills needed to be successful. In addition they have special counselors, designated study sessions and additional supports through out their 4 years of college. There are studies in NYS that opportunity program students graduate in 4-years at a higher level than non-opportunity program students.