In my prior experiences (DD15 and DS17 were also both NM Scholars, so DD21 is my 3rd and final go round), yes, the colleges seem to get at least some indication that you’ve scored very high from the College Board, along with whatever information your kid filled out on the forms re: grades/courses/etc. because my kids would get a flood of recruiting mail from top schools (Ivies, etc) and also schools that recruit hard for merit/academic scholarships. Lots of mail and email specifically about honors programs, elite academic scholarships, etc.
The schools don’t seem to know the exact score unless you share it, though, so it’s wise to include your expectation that your kid will be qualifying for NM in communications with recruiters/admissions offices (and note the exact scores and your state, and a reference to GPA and maybe even ECs) because that helps them hand you off to whoever they’ve designated as their NM/merit recruiting people and helps your kid get on the list for recruiting for the appropriate things.
Congrats on the perfect score!! Be sure your kid takes the ACT (and of course SAT) and aims for perfection. Perfect ACT score results in a really prestigious award that can lead to amazing things. My friend’s son got that and it was really cool. I think it might be called the Presidential Scholarship. Just google up “perfect ACT scholarship” and “perfect ACT award” and see what you find.