See where I'm headed?? I can't copy/monitor rooms but Revit MEP can keep spaces in sync with rooms...soooo...uncomfortable workaround ahead:
What if "your" firm uses Revit MEP instead? You'd be able to link the architecture model in, places spaces where their rooms are.
This tool is available from Autodesk Subscription though I can't imagine why it isn't just part of the software yet.
Equipment schedules can report Space Name and Number instead of Room Name and Number - though we'd keep them in sync and nobody but "us" would be the wiser?
What's the penalty to do the work in Revit MEP? No site or structural tools and a different interface layout than a user with RAC experience is used to. The lack of beams or columns might be a bummer, maybe not? It does beg the question, "Why isn't there a better way for firms to collaborate between their respective firms?" Well, not yet anyway. The "Xmas" wish list is a lot bigger than "Santa" has time and "elves" to prepare and deliver each year.
I created a short video to describe what I'm suggesting might suffice...mileage may vary...or you can listen and watch here.