How important is a good AIME score for college admissions?

My son was accepted EA to MIT in Dec and is a potential math major who has never really wanted to participate in state/regional math competitions. He went to ARML once in 7th grade and decided competitive math wasn’t as enjoyable to him as he thought it would be. He did, however, qualify for AIME multiple times and I think his score last year was an 8 or 9. SAT Math, Math 2 and Physics were all 800 so maybe it does help differentiate the mass of kids with those stats. He is a kid who just loves math for the sake of it. Who knows what, if any, impact AIME had…