>I chose some files in the directory to "always backup" through the GUI
>so that I could force them to rebind. ...

Okay, that amounts to a Selective backup, which leaves Inactive files
bound to their original management class, as the client manual says.
The newly backed up file should bind to the new mgmtclass.
I'd recommend doing a dsmc command line backup and capture the
resulting backup log for review.

  Richard Sims