Jennifer is a little different in that she had another interest, literature. The suggestion in the essay was that someone like Jennifer start out with a double degree and/or a campus that offered both a BA and a BM, and that it was likely she would end up with one or the other, not both.
Double degrees may be easier than double majors because you have 5 years- but others can correct me if I am wrong.
You do not have to major in music or piano to continue with piano.
And if you major in music or piano your career path is not limited to music.
If you are looking at Ivies and other private schools, it does not seem as if you are headed for a conservatory BM.
I would think you might want to apply to universities/colleges that you really like for a variety of reasons (location, size, general vibe), that give you access to an excellent piano teacher, on or off campus, and some performance opportunities in and out of school. You can take some music classes and take some other classes to explore other areas, and then decide what you want to focus on.
Most or all of these schools will not have auditions for admission but will have them for extracurriculars.
I will PM you about something else 