Getting back on topic...
I think that an aviation major, military focus or not, can help you in flight school. I graduated from University of North Dakota with Commercial Aviation and Air Traffic Control majors (dual major). I went into Primary with a little over 300 hours, CFI & CFII, and no instruction-given hours. I did well in Primary because of three things:
1. I worked my ass off to be the best I could for each and every flight (most of the time

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2. I had better situational awareness in the cockpit than most students because I had been there before, albeit not in a military training environment
3. My instrument skills, while rusty at first (I hadn't flown in over a year), quickly came back and made Basic Instruments and Radio Instruments an enjoyable experience for me
I have several friends who entered Primary with some prior flight time, ranging anywhere from Private Pilots with 50 hours to ATP's with thousands of hours. All of them did well and got what they asked for (the planets must have been in alignment for us all). However, this information is of a limited scope as we all still have Advanced to get through. Eventually everyone else will catch up (so I'm told).
There is so much that I learned in college that I don't use in flight school. There have been several instances where I ask myself, "Why the heck do we do that? That makes no sense!" I struggled with doing things the Navy way ("Well that's not how I learned to do that!") On the flip side, I have a broader foundation and understanding of aviation than a music major or poly-sci major likely does. In fact, a couple of times I heard "I'm not sure how many of our IP's know that!" to answers I gave during briefs. But I also have a very in-depth fascination with aviation as a whole. I enjoy it so much that I have taken the time to learn as much as I can about aviation (military or civilian). I have no regrets about going to college to learn about something I love to do. Some might call me a "prophead", but I can say that I get paid to do what I love!
My advice - go for what you want to do and give it your best!