It is all in the way that AH words things. When he says "lead Investigator"...he doesn't specify it is LE so it probably means Cobra. A task force member could be someone working with Cobra. While it is intentionally misleading, he is free to word it any way he can make it sound as if it came from LE when it did not as long as he doesn't cross that line into an actual lie, imo.
LE is not telling anyone including Cobra, KP, or AH anything about the investigation, imo. AH is being "tricky" on how he reports this case and his take on things is biased against Ronald and Misty due to his close involvement with Cobra and KP, imo.