From Fallen London Wiki

To quote Bruno on the Discord: "The main intent here though is just to build up to a quality that is 1. still somewhat hard to get 2. available to everyone regardless, though it requires effort in some cases/// Which gives us a marker we can reference that means 'it's narratively appropriate for this character to see the Masters bickering' which isn't just the Robe."

So yes, your assumption is correct, eventually everyone will be able to sit in on the Masters meeting and watch them bicker.