This question, 'how does major influence USAF decisions?' is a common one on this board. I'm not a AFROTC cadet (can't speak to knowledge about NROTC) just close to someone that is currently and has gone through AFROTC HSSP scholarship process and looking to be rated pilot. This may not be applicable since you've chosen NROTC but perhaps it will help others re: AFROTC.
The AFROTC HSSP scholarship board has a very, very strong preference to STEM majors. Your chances of receiving a scholarship (and USAF contract) out of HS are much greater for a STEM major.
Once in an AFROTC detachment, you'll compete in your Freshman and Sophomore years for an EA to POC - attend field training at Maxwell between Sophomore and Junior year - and if you are an HSSP cadet or have been put on ICSP you have signed a contract by now and are nearly guaranteed for an EA and future commissioning. Then just do well at MAX and the last two years of school. Sophomore year is when you will take the AFOQT (standardized test like SAT), the results are a main piece of your future AF job. This with performance within detachment and academics and some degrees drive matching you with your career desire and the needs of the USAF. You will get to, later in the process, submit a wish list of top three jobs and those with the best performance are more likely to get their wishes.
During your Junior year, if you've expressed an interest in Pilot or other rated jobs (note: you'll declare this before FT at Maxwell as part of the EA decision detachment makes), you will submit a package to a rated board. The rated board decides on whether you are rated for Pilot, CSO, ABM or RPA. There are multiple parts to the PCSM score that is submitted to this board after first semester of Junior year, MAJOR IS NOT ONE THEM. AFOQT scores, PT scores, Commanders ranking, Field Training performance and GPA are all part of the formula. Just GPA, not major. A 3.8 in Art History is better than a 3.2 in MechEng, you probably are not on HSSP or ICSP as an Art History major though... but you can still earn an EA and rated (even pilot) job. I don't believe, through the person that has been told many times by AFROTC, the rated board even sees the major the candidate is studying.
Further in your career, if you've achieved, pilot there is a preference (requirement?)major. If you want to go NASA you have to be a test pilot first and only STEM majors become test pilots.
Summary and suggestion- For scholarship advantage STEM is key. For pilot and any other job preference within the USAF and post USAF career, choose your major based on what you feel you will enjoy. If you enjoy it, you're more likely to do well in it and high performers (academics and all the other pieces of ROTC) have the best chances of receiving their job preferences.