Again guys..... be careful with terminology. "point shooting" means different things to different people.
For example, I think "unsighted fire", but some people think "hip shooting".
When I read 2How's post, it reminds me that many people who think they can "shoot well" have horrible habits, grip and posture. But, because you can hold a gun upside down in your wrong hand and pull the trigger with your pinky finger and still hit a bullseye when you use your sights, they don't realize how bad their pistol skills are until they are put into a dynamic context.
I was painfully watching another instructor "work" with a group of students a couple of months ago who exemplified this. Their shooting was horrid, but they had decent groups on the target. Half couldn't reload their guns, one kept forgetting to decock hers, another kept crossing her weak side thumb over behind the slide. One of the group was a really squared away shooter and a few were in between. At the end of the session, they were all told they did a great job and I honestly think most of them felt like they were "prepared" to defend themselves with their guns. The mechanical dependence on sights to create decent looking target groups that create false confidence is one of the sins of "sighted fire always" thinking.
Starting shooters with keeping both eyes open, focused on the target (8" circle at 10' works well) is a much better way to develop good shooting habits. These intuitive shooting habits (good grip, good extension, good body position, good trigger control, good recoil management) can then be added to to increase the capability for precision by adding skill sets such as Sight Alignment and Sight Picture.
-RJP