I appreciate your point (that given the choice again, you would've attended the Ivy).
Your post struck me for another reason, which is the quaint idea that very high SAT scores give a student a chance of admission to Harvard and Yale.
That may have been true 20 years ago but it certainly has not been so for white or Asian guys recently.
When one of my sons was of college-application age a few years ago, I saw several of his ultra-high scoring, ultra-qualified classmates get rejected from all the Ivies and from MIT.
The Ivies offer no merit-based scholarships, either, AFAIK. (Not if you're caucasian, anyway. For URMs -"underrepresented minorities"- it might be a different story.)
You are right. SAT alone wont do it, although since I had a 1600 atleast that separated out my application (sorry, not trying to boast, just telling you why my application was separated to be reviewed). I still had to do my essay and all that jazz and a personal interview.
You are right. If you are White, Asian (Chinese or Japanese or Korean) or Indian (Hindu or Sikh) good luck getting ANY kind of scholarship.
In fact if you are Asian you have the highest amount of reverse discrimination done to you in this nation (even more than Whites)