Sounds like an insane mis-feature along the path to project death by feeping creaturitis. I'm trying to imagine why such a capability would exist.
Excess imagination on my part, but here's my idea for a solution using this mis-feature (thereby possibly justifying its existence). First some background: I've made a number of attempts to use Claude (and other AIs) for programming tasks. The early attempts were a while back and failed miserably, but a friend provoked me into trying again recently and it went quite well. Much to my surprise. Managed to completely second-system a PERL monster into JavaScript with much less of my time and effort. (Actually it was more like a fourth or sixth round on the application (in various languages), but just ancient history behind my first attempt to act as a project manager.)
However I got worried about the tokens consumed so I took the project to a new instance of Claude, and this "new it-guy" was terrible. Lousy communicator and sloppy programmer. Eventually managed to fix its mistakes but not at all confident it hasn't buried some other bugs more deeply into the code... My conclusion is that there are some implicit "personality" variables and the first "it-guy" had better values that were not transmitted in the handoff document. The document looked fine to me, and seemed to cover all the main points, but I didn't know what to look for as regards "training" its replacement's "personality".
Which leads back to this story about shared interactions. Now I'm imaging studying other people's dialogs with Claude in search of the implicit personality variables and how to set them properly. Not going to do it. Insufficient motivation on my part, but if I was a manager of project managers (or higher and even more distant from the trenches), then I think it might be helpful. Dare I say PROFIT? (My theory is that the variables are implicit and have high dimensionality, because if they were explicit and easily described then the "good" Claude would have included them in the handoff document.)