I suppose what I had in mind was akin to the following practical example, say a technical question asked on Stack Overflow. When the submitter can't reliably or efficiently anonymize the accompanying data [which would risk reveal the submitter's anonymity and compromise data], the submitter does not have any choice but anonymizes both the identity _and_ the data, which probably results in a sub-optimal exchange.

Imagine that you can effectively anonymize the dataset, I think one can think of circumstances where this could lead to a more effective communication as to provide further information (e.g., submitter's domain familiarity, language experience, resource constraints) and context (e.g., is this a standard practice) instead of fishing for more clarification in an iterative, and therefore less efficient, fashion.