Mr I:
Sorry to assist in getting this discussion off-track. Some say I am skilled at that
My response to your question is "it all depends."
My follow-up to your question would be "why are these students joining your team when their schools already have teams?"
My second follow-up is "what do the teams at the schools these students are coming from think of this?"
Answer these two questions and you will be well on your way to knowing if you have problems or not.