Meanwhile reprint permissions are super easy to get. I can get my teams their's in 24 hours. Sounds more like they don't want to give them out.
Idk how big your mess is upstairs but we have a couple cage carts upstairs and if there's IB specific reprints we send it back to IB. Just dedicate a cart to it.
As for reprints in general certain ones are okay as they don't hit your buildings dpmo score and won't count against you. I don't remember which ones they are but I can look into it and get back. I've been out of ICQA for a bit so I don't remember.
The biggest ones are going to be cancelled/purged labels, which almost any error can cause, and reprints. Errors found during inbound audits, bin cleansing, etc will also contribute to the overall DPMO score though.