Probably the best thing you can do to educate yourself on this topic is to contact CT and request a copy of the DVD "Shots in the Dark." In my previous life, I shot, edited, and produced all of Paladin Press' videos. I personally shot and edited "Shots in the Dark," working closely with Clyde Caceres (then with CT) on that project. Both Clyde and I did not want the video to degenerate into a CT infomercial, so we focused on a critical examination of the pros and cons of the laser in general. The video was a commercial product for a number of years before CT bought the rights to it to offer it as an informational piece. Since I was personally involved in it, I know it well and feel it examines the issue objectively.
In my work with both Col. Rex Applegate and Jim Cirillo, I came to appreciate the laser for the same basic reason, even though their respective approaches were very different. The Colonel believed that it was ideal because it put the dot on the threat, which is where instinct will typically force you to look. In fact, one of the effects of SNS activation under life-threatening stress is loss (or at least degredation of near-vision acuity. In simple terms, you can't see things at close range--like the sights on your gun. As most folks get older, this happens even without stress--our eyes just change.
Although Cirillo was definitely a sighted-fire guy, he was also open minded enough to explore other forms of aimed fire and what he called "alternative sighting methods." One of Jim's "alternative" shooting positions was what he called the "Geometric Point" or "Nose Point." It's basically a shortened isosceles with the elbows tight against the sides. This positions the gun at chest level right on your body's centerline. If you simply square your shoulders with the target, you get COM hits. Add a laser to it, and you've got a good close-range shooting platform that allows a wide field of vision.
My personal approach to lasers (I have them on several of my guns) is to tune the placement of the dot so it rides right on top of my front sight when I have a proper sight picture. In this way, rather than looking over the sights to see the dot (as Rob mentioned, a common problem), the same exact shooting position makes both the sights and the dot visible. If the battery goes out and the dot disappears, there's no major transition to the sights.
I hope this helps.
Stay safe,
Mike
P.S. From a training perspective, you may want to check out the article I did for SWAT a few months ago on using lasers for training.