It seems you getting a lot of replies that are veering form the question.
As Kinnem wrote above, it may or it may not. All you can do is when you get yourscholarship, contact the units at the schools and let them know that you recevied a scholarship and have applied to the school. My kids also called admissions to let them know they recevied the scholarship in order to update their admissions package because this is a significant award that the admissions committee should know about.
My two kids recevied NROTC and AFROTC scholarships. From conversations, it appeared to acceptance to MIT, Notre Dame, and Cal (for aerospace engineering as a major). We have also heard as stated above that it helps with UCLA. My daughter ended up choosing AFROTC and MIT and loves the unit and the school (they've been named best small detachment the last two years and had the cadet of the year in 2018).
Based on the acceptence rates at your choices of schools, Yale and UCLA appear to be your reaches, followed closely by USC. Then it seems you're putting Purdue and Villanova as safe reaches. This link might interest you. It has the average SAT scores of accepted students at top engineering schools. You can also link to a scattergram that shows data for GPA and test scores in terms of admissions.
https://www.thoughtco.com/sat-scores-for-top-engineering-schools-788646
Good luck! You've got some great school choices there but you may want a couple of more safer schools to broaden your reach.