Well, even if some madman is pretending to be the CIA, the CIA sure knows about it!
Also, they've answered some questions already.
No matter if they only lie, or don't answer any questions not about 'take your pet to work day', the questions themselves are no less important for our edification than any answers the CIA might provide could be. They say they won't answer questions about 'conspiracy theories' (a term which they themselves made to be used to discredit folks asking questions (oh, the irony!)), but with various releases of unclassified docs, they have proved that what used to be theories are proven facts.
Asking them about Operation Mockingbird isn't asking them about a conspiracy theory, since they themselves say it's what they did. Since most people don't know, asking about it is a good way to share that information with folks. I'd actually be interested to know to what degree they took advantage of the recently expired amendment to the Smith-Mundt Act that allowed the USG to fund propaganda against Americans, and whether that's the reason for the layoffs at Vice, Buzzfeed, and etc., now that ($160M) funding has expired, and it's supposed to be illegal again for them to disinform Americans.
They may not answer. But just asking the question reveals so much truth that many people would be shocked to learn that heads will explode.
Thanks!