You might be interested in the idea of multivocality, which is saying something which can be interpreted many different ways. The tactical idea is to communicate as little about oneself as possible, while allowing everyone else to communicate things about themselves in response. Here is a blog post that talks about how it was used by Francisco Franco and Cosimo de Medici: Francisco Franco, Robust Action, and the Power of Non-Commitment
See the search term "holding space" for something remarkably similar but not identical. This may be the term you are looking for.
I just thought of this concept and I'd like to know if it is new or useful.
"Functional silence" is communication intended to carry as little information as possible. It intends for the beliefs of listeners to be changed as little as possible.
This is usually the same as regular silence. The difference is in cases where regular silence would convey the wrong message, such as when asked a question that one cannot politely refuse to answer, when unwantedly prompted to give a statement or when padding a short message because more words are expected. In these cases, a range of techniques is commonly used:
These seem different and there are surely others I've forgotten, but I'd like to call all of them "functional silence" in order to emphasize how they all do the same thing. They all intend to minimize the sharing of information, while denying that intent.
"Functional silence" is inherently deceptive and probably a Dark Art. Excuses might be made for it in some situations, where it maintains a relationship despite a lack of trust or it covers up an uncomfortable lull in a conversation, but my intuition is that it is just Wrong. It is easily found, especially in political and corporate communication, and lots of other places once you look for it. But because denying its own nature is inherently part of it, and because I didn't know a word for it, I have found it hard to nail down. So I thought maybe having a word for it would help? Helps me, anyway.
I should say that I really think of functional Schweigen, but Schweigen is the German word for choosing not to speak, which English (being a clearly inferior language) doesnt really have a word for.