Any issues with creating labels on candidates while using "Next" to scroll through applications?

It has been reported to me that recruiters are using the "next" button when moving through applications on a requisition. As they are doing so they are also labeling their candidates accordingly. However, the first label on the first candidate appears to travel through each application. If you correct it, and save, then move on the new label shows up on the "next" application. After finished and you back out of the applications to the main list of applications, only the first candidate has the label that was last used.

I can bulk label from all application view, and they appear to stay.