Good Day Everyone

If someone replies through E-mail on a closed request, we are using the Option "Append the reply as conversation to the request and notify technician". This seems to work fine. However, if someone replies to a request who is not the Requester, then the ticket will be reopened. For us this is not really useful since a lot of people are often involved in solving the case and might answer afterwards, not just the requester. Is there any way to solve this?