Communication should be judged for expected value, not intention (by consequentialists)
TLDR: When trying to understand the value of information, understanding the public interpretations of that information could matter more than understanding the author's intent. When trying to understand the information for other purposes (like, reading a math paper to understand math), this does not apply.
If I were to scream "FIRE!" in a crowded theater, it could cause a lot of damage, even if my intention were completely unrelated. Perhaps I was responding to a devious friend who asked, "Would you like more popcorn? If yes, should 'FIRE!'".
Not all speech is protected by the First Amendment, in part because speech can be used for expected harm.
One common defense of incorrect predictions is to claim that their interpretations weren't their intentions. "When I said that the US would fall if X were elected, I didn't mean it would literally end. I meant more that..." These kinds of statements were discussed at length in Expert Political Judgement.
But this defense rests on the idea that communicators should be judged on intention, rather than expected outcomes. In those cases, it was often clear that many people interpreted these "experts" as making fairly specific claims that were later rejected by their authors. I'm sure that much of this could have been predicted. The "experts" often definitely didn't seem to be going out of their way to be making their after-the-outcome interpretations clear before-the-outcome.
I think that it's clear that the intention-interpretation distinction is considered highly important by a lot of people, so much so as to argue that interpretations, even predictable ones, are less significant in decision making around speech acts than intentions. I.E. "The important thing is to say what you truly feel, don't worry about how it will be understood."
But for a consequentialist, this distinction isn't particularly relevant. Speech acts are judged on expected value (and thus expected interpretations), because all acts are judged on expected value. Similarly, I think many consequentialists would claim that here's nothing metaphysically unique about communication as opposed to other actions one could take in the world.
Some potential implications:
Note: Please do not interpret this statement as attempting to say anything about censorship. Censorship is a whole different topic with distinct costs and benefits.
One nice thing about cases where the interpretations matter, is that the interpretations are often easier to measure than intent (at least for public figures). Authors can hide or lie about their intent or just never choose to reveal it. Interpretations can be measured using surveys.