I do think that it is possible that the police selectively released information in order to create a counter to the feelings of empathy and it would seem apathy about his capture. What better way to do that than selectively create worry.
Actually, it sounds more like you're claiming that the police lied about what Moat wrote in his letters (or made the letters up entirely). Because if A) he wrote the letters, and B) the police released Moat's actual words, then releasing that information to the public was pretty much their moral duty -- to give people warning that this was a seriously disturbed and dangerous individual.
Anyone can "ask questions". Watch, I'll do it:
"Is it possible that George W. Bush is actually an alien hybrid?"
However, the ability to simply ask questions does not, in and of itself, make one a skeptic. "Is it possible that the moon is really made out of green cheese" or "Is it possible that the Easter Bunny really exists" would not really be reasonable, "skeptical" questions for an adult with a decent knowledge of science to ask.
When a skeptic asks questions, they do so with evidence to demonstrate the validity of a question. The question addresses existing questions in a manner
better than a prevailing theory does. Or it points out new problems that have not previously been considered.
Your question does neither. It not only is pure speculation based on no real evidence outside of your own mind, but it actually fits the evidence
less well than current info does. Unless you have anything -- anything at all, outside of your imagination -- to indicate either that the letter the police released was not written by Moat, or that the contents released by the police were not Moat's words.