This post seems to be helpful, and it is nice to see that meta-level reasoning is something that happens in ordinary situations, though the exact number of levels of meta reasoning isn't particularly clear.

A point of ambiguity here seems to be when you are supposed to use this as a conflict resolution strategy, though I suspect this may be due to an imperfect understanding of this as you present it. Mostly it's just that my intuition appears to say that this isn't a fully generalized system for resolving miscommunications given willingness to go along with it.