The incorrect/misleading information outweighs the information that presents an accurate picture.
What incorrect/misleading information? That's a pretty broad statement....Can you be more specific? Are you talking about what military releases for public consumption or what is published by print media? Or something else entirely.
Our military has done a poor job combatting that (yes, that is an appropriate term), much to the detriment of the mission.
If you're talking about military trying to dispel reported inaccuracies or misleading info as form of combat, that is an intriguing notion of merit since it is akin to Asymmetric Warfare. The military doesn't have control of the "battlefield", the media
does and the military (government overall actually) has to abide by rulesets that the press is not inhibited by in the slightest interpretation. The government/military has to react to the media, but the reverse is not true. About the only thing military can do is restrict access by imbeds, but overall it is been successful rather than the press pool concept or no access at all. Regardless, there are some places, units and operations that the press is not allowed access to and that is the way it should be. Back to your first assessment of military doing a poor job....the public affairs folks and leadership are set up at a disadvantage in a democracy with a free/aggressive press community in a capitalistic highly competitive media economy that thrives on controversy and soundbites. The "SPECOPS" tier of the press doesn't get to top by writing feel good stories or human interest tomes. Reporting on the military is simply a means to an end with a dollar sign and ego intermingled wrapped in a cloak of self-righteousness tied to the public's "right to know" despite the military's basic principle of "need to know". This goes back as far as the Civil War (perhaps further) with complaints about press that yielded this interesting quote from a leading general:
“If I had my choice I would kill every reporter in the world but I am sure we would be getting reports from hell before breakfast.”
William Tecumseh Sherman
The media can't be controlled, but a better effort should be made to make timely, accurate information easily available to the public.
I'm at a loss at to what "timely, accurate, information" you allude is
not available to the public that does not cross into OPSEC territory?!? I have served in Public Affairs roles at squadron, air wing, echelon II command and OPNAV levels although I was never a 1650, but I've known all the key players
and watched up close the evolution of the means/vehicles they use to disemminate info in a timely manner and react to queries by researchers, the press and general public.
I'm not an apologist for CHINFO, but they've come a long way over the decades and I can't see what you think isn't being pushed or made available in a timely or accurate manner (except for occasional photo captions having aircraft misidentifiaction of course). For imagery alone, it used to take weeks for an image to be available to press from an aircraft carrier or even stateside unit. Today ~40 fresh images a day are posted on the Navy Newsstand that are literally hours old (many are posted on Air Warriors) thanks to digital photography, compression software and Internet availability on the ships at sea.
As a writer, I've taken full advantage of what is available and it is literally more than one person can digest. Every service and DoD has imagery, speeches, bios, fact sheets, press releases, etc. available on-line for data-mining from convenience of your PC. The Navy News Desk never sleeps and is there for short-fused queries and fact checking or referral to cognizant office. I've worked with them since 1986 when I was PAO for Naval Safety Center and had multiple calls per day and was still working with them in 1994 when I was AAM RO and had newspapers/magazine writers seeking info on my programs. CHINFO also has Navy Information Offices in major cities like New York, Dallas and Los Angeles whose sole purpose is providing "timely, accurate, information".
There is also the FOIA path that anyone can use and must respond on a set timeline or little old ladies in sneakers light up your CoCommand.
Note: if you're referring to what you read in print media as not being "timely or accurate", it doesn't mean it wasn't provided or service wasn't willing to provide it, it is more often the writer chose to write the story with a different slant to garner attention, facts be damned.