<p>The direct answer to the OP question is YES, in case that all the other conditions/factors are considered as the same or very similar. There would always be exceptions, but we are talking about the majority of cases, not exceptions.</p>
<p>Although H and other high end colleges have turned down and will continue to turn down many of the 2400 scorers, the same applicant would still have a significantly better chance to be admitted if s/he scores 2400 (3x800) or close to it than if s/he scores 2250 (3x750) or less. Please note here we are talking about the same applicant with all his/her other qualifications unchanged – I’d assume that was what the OP really asked about.</p>
<p>Of course the same score could have a quite different “applicable value” in the admission equation under different conditions and/or to different applicants - URM, athletic, legacy and/or any other “highly desirable” applicants with a score of 2250 would have a very good chance and those who score more than 2300 are very likely to be admitted among these groups, whereas a non-hooked Asian (especially an Asian boy) with less than 2300 would have an extremely slim chance, if any…</p>