What we were told at selective BS like SPS and Choate (not Exeter or Andover though…kid did not apply to either) was that anything in the high 80s and the scores wouldn’t be the thing that was a deal breaker. The SPS AO we worked with used a phrase like “Anything from the high 80s and up, and we know the kid can do the work.”
OTOH, SSAT not be all-end all…as I’ve recounted before, 7D1 had 2380+ (a “high” 99%-ile) on SSAT and got rejected by Choate. She was also NMF (and Chem E major) eventually, so not a dummy…