The real problem [edit: with scores] here is that scores are reported on a 200-800 scale. If they were reported in terms of standard deviation from the mean, then those 20-40 point differences wouldn't matter to admissions officers. As it is, a 30 point difference looks significant, even though it's only around 0.15 SD.
I'd hope that admissions officers are sophisticated enough to know that. Having said, there's some band in which you're basically flipping coins given overall criteria so you flip coins based on statistically insignificant numbers rather than complete random number generators.
