I'd use the possessive. The boys don't own the boys' restroom, either. " In some cases we'd switch to singular: This is a girl's bicycle.
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AvangiWhat are your thoughts on this?Hmm. I think that logically you have a point. On the other hand, even looking at it with your comment in mind, "one of the school that thinks" does not stand out to me as being wrong. I'm not really sure why, and perhaps it does to others.