Certainly, the FBI in the '60s and '70s would have been unlikely to be expanding much effort towards this situation. Though I think everyone here is assuming that intelligence agencies treat all of these public puzzles with the same degree of utmost seriousness.
Take the Taman Shud mystery- only one death, completely without context. Yet it's mentioned that military analysts took a shot at unravelling the mystery:
> In 1978, following a request from ABC-TV journalist Stuart Littlemore, Department of Defence cryptographers analysed the handwritten text. The cryptographers reported that it would be impossible to provide "a satisfactory answer": if the text were an encrypted message, its brevity meant that it had "insufficient symbols" from which a clear meaning could be extracted, and the text could be the "meaningless" product of a "disturbed mind".
https://en.wikipedia.org/wiki/Tamam_Shud_case
I don't think spies are any less interested in perplexing mysteries than the rest of the public. While I don't expect that an agency would throw all of their manpower at a case such as this, I could imagine individual analysts taking a stab at it on their own time. Maybe the organizations themselves might sponsor side projects as a means to test codebreaking techniques and glean lessons along in the process. I mean, why else does the NSA have a page on the Voynich Manuscript:
https://www.nsa.gov/news-features/declassified-documents/voy...
They even did an entire study on it:
https://archive.org/details/VoynichManuscriptAnElegantEnigma...
Serious agencies dive into less-than-serious studies into exotic or sensationalist topics all of the time. Sometimes for general interest, sometimes for good PR, sometimes simply because of bureaucratic waste. Why else do we hear about military studies of UFOs, from Project Blue Book to recent news stories? Given the enduring mystery of the Zodiac Killer, I can't imagine why some of these professionals- beyond the FBI even- might not have tried to crack it, themselves. And perhaps some have already succeeded.
Edit:
> There's no reason to believe that he'd write a message that would give himself up. Real life is not like the fable of Rumpelstiltskin where solving a riddle makes someone honor-bound to give themselves up.
Despite this, perhaps figuring out the message would've given some sort of psychological insight or contextual clues that could have helped investigators determine the identity of the killer.
Not to mention, your point is refuted retroactively by the case of the BTK Killer, whose taunting anonymous puzzles were his downfall. Though admittedly investigators identified him not by actually solving his puzzles, but by analyzing the medium they were conveyed in.