I don't see how this can work in practice. At some point, you'll have an application with an SAT go up against an application without one for the same seat. Either a really good SAT score will push that one up (meaning not submitting an SAT score hurts application #2) or the score is ignored, meaning it doesn't actually help to include it.
That's because the admissions process is not the line-by-line ranking exercise you're implying.
In some cases an SAT may help to complete the picture of an applicant. In other cases, other attribute permutations are enough. Maybe #1 was close and the SAT sealed it. But, it's not necessarily the case that applicant #2 was hurt by not submitting their SAT (or would have fared any better by submitting even a perfect SAT score).
