I agree with the pro-logo crowd. A well behaved girl will not draw attention, no matter where the school patch / logo is.
If attention is being drawn, its not because of the logo. I live in a uniform-heavy area, and I can easily spot the girls who are aiming for a grown up life of tznius on the cutting edge. They’re the one’s with the sassy pisk, the messy, in your eyes ‘do, the untucked blouse.
Believe me, the uniform patch is the least of the trouble. (hint: check mommy and/or sis-in-law. That might be the role model)