You can also discuss this on the music forum.
The thing is, if you are providing a music supplement then you are NOT applying to a conservatory/BM Program because that supplement is not part of the conservatory application process. The music supplement is used mainly for school where you will not audition and will not do the immersive Bachelor of Music degree but instead either music as a liberal art with some performance, or majoring in something else entirely with extracurricular music.
So in that sense your playing does NOT have to be “conservatory level” for admission. However, your music supplement should demonstrate enough talent and accomplishment to make the time and energy spent listening and reading by admissions officers, worthwhile.
A music supplement can enhance your chances if it shows that you can contribute to the mix of the class, and contribute to musical organizations on campus.
Basically, you don’t want to annoy admissions folks by submitting a music supplement that is sub-par, but chances are your music is just fine for submission so don’t worry about it too much.
ps you do NOT have to have any plans to major in music in order to submit a music resume