Not only can real-time reports compromise the privacy of others, in breaking news situations, he said they can also negatively affect reports released by legitimate news outlets.
Though the mainstream media tries to confirm reports before distributing them, he said "citizen journalism gets sort of laundered by the professional media as it were."
And some fellow Twitter users seemed to agree.
One warned Moore that the picture she posted to the site "was going to come back and bite you in the a**."
Another Twitter user wrote, "She needs to stop speculating and get back to work. Ft Hood needs everyone today."
Others, however, took a different view.
In a piece for Toronto's Globe and Mail, Mathew Ingram, the paper's communities editor, defended Moore's posts.
"As far as I'm concerned, I'm glad that someone was there to videotape it and let the outside world know about it," he wrote, adding that though Moore made errors in reporting, mainstream news outlets made similar mistakes.
"That is a fundamentally journalistic impulse, and the more people who have it, the better off we will all be — even if we have to put up with errors and misunderstandings along the way."
But what about the fact that Moore, a member of the armed forces, used Twitter to broadcast messages from a military base that was under communications lockdown? Cell phone calls and text messages were off limits. Should Twitter have been banned too?
The Department of Defense is in the process of creating a social media policy that is expected to be released in the next few months. In the meantime, Army spokesmen say soldiers should treat new media the same way they would treat old media in emergencies and sensitive situations.
"We would want our soldiers to be aware of the implications of their Twittering," said Lt. Christopher Garver, an Army spokesman at the Pentagon.
In emergencies, he said, soldiers aren't supposed to use phones or e-mail, an effort to ensure that families of wounded or fallen soldiers can learn about their loved ones through the proper channels.
That policy should extend to Twitter, Facebook and other forms of social media, Garver said, but added that, given how frequently younger generations use new media, they're sometimes less aware of their actions' consequences.
"They're often surprised by the implications," he said.
TechCrunch's Carr said the Army's forthcoming social media policy indicates a step in the right direction.
"It's something that can only become a more serious problem. That's what the Army should be thinking," he said. "Twitter about your life when you're not on the base. The moment you put on the uniform, stop Twittering."
Garver declined to comment on whether or not Moore's Twitter stream violated military policy, and said the decision fell to the chain of command at Fort Hood.
When contacted by ABCNews.com, a Fort Hood public affairs officer said her office was not aware of Moore's tweets but another office might be looking into it.
"It saddens me that there wasn't some consideration of the family of these people that were wounded," said Margaret Brewster, command information chief. But she added, "People do what they do in cases like this."
However, she said soldiers weren't entirely without direction when it comes to new media.
"We have guidance about social media and, of course, we tell soldiers to be careful," she said. "We understand that our soldiers are young, and frequently this is the way they communicate."