The school board was not right to tell you that you had the right to shadow the interpreters no matter what.
When I was in high school and college, interpreters always asked me if it would be ok for them to have shadow interpreters with them, and I allowed it. Though, in some situations, it could be distracting, so I had to deny the permission in one or two classes, when the theme was too heavy.
The interpreter is right with what s/he was doing, asking his/her student for permission first. That is called respect.
Let me put it this way... What if a shadow teacher came into the classroom and worked with the teacher? It could be distracting, if the students were not informed in advance.