I have simply created a patch which restores these objects to the cells and places them somewhere out of the way, do not clip, and close to where they originally were. Some interior overhaul mods remove these objects which creates the problem with Interesting NPCs quests not starting/progressing. Basically, most of these persistent-flagged objects are furniture such as chairs or beds which Interesting NPCs uses to start or progress quests, or to simply trigger a relatively unimportant event like a voiced dialogue from an NPC (I am not sure what all of the flagged objects are flagged for and I don't think I'll be checking each of them).
This small patch collection addresses the issue of some mods removing certain placed objects that were marked with a persistent record flag by Interesting NPCs.