I note the “Common Data Set” questionnaires the schools make available address this issue in C7 (“Relative important of each of the following academic and nonacademic factors in your . . . admissions decisions.”). The possibilities are Very Important, Important, Considered, or Not Considered. Standardized test scores are one of the six academic factors, and there are many more nonacademic factors.
Just to continue using Harvard as an example, their latest questionnaire (2022-23) involved checking almost everything Considered, except importantly class rank, state residency, religious affiliation, and level of interest (all Not Considered). I know this is not particularly fine-grained, but I think Harvard is basically being honest here in saying class rank isn’t considered, and then test scores are considered, and so are “rigor of secondary school record,” “academic GPA,” “application essay,” and “recommendations.” But none so much more than the others such that it should be elevated above Considered (say to Important or Very Important). And generally, they are trying to tell people here that admissions to Harvard is not dominated by academics alone.
MIT was somewhat similar in that they ranked all the academic factors the same (Important, in their case), except class rank, which they ranked only Considered.
CalTech is test-blind these days. They didn’t even check a box for test scores, but interestingly they checked rigor, application essay, and recommendations Very Important, and class rank and GPA only Important (I think they are pointing out they are really looking for people unusually well-prepared for their specific subjects).
Brown is not test-blind, but I think they count as being relatively test-light. They check everything else academic Very Important (they want you to know that despite the rumors, Brown is very much a serious academic institution), but test scores only Considered.
Chicago is an interesting variation. Rigor, essays, and recommendations are all Very Important, class Rank, GPA, and test scores only Considered (they want you to know that despite the rumors, Chicago is not just numbers-driven).
OK, so that’s a range. At MIT and Harvard, test scores are co-equal. Chicago and Brown say other things are more important but test scores are considered. And CalTech says we are test-blind and so stop asking.