We may be in agreement in principle and only in disagreement in semantics. I would call what you just described sighted fire.
We are, I think.
Yes, it's sighted fire. "Point shooting" is sighted, but it's different from "aimed fire". "Hip shooting" is not sighted.
Which is close to how quail shooters do it, by the way. It's also how ol' Fairbain and Sykes taught it and called it point shooting.
With a pistol, like with a quail gun, you can practice using your whole upper body so that when you look at a target and bring the gun up, it will already be pointed at the target. Your eyes are useful, of course, but your gun feels more like an extension of your arm.
That is point shooting. You point the gun at something like pointing your finger at something at eye level, and when you see the gun intersect the target, you fire.
Hip shooting is something different.
That's what I meant when I said that "point shooting" is widely misunderstood.
"Snap shooting" is similar, it just involves a quicker shot, and less visual verification, though it's still at eye level.
"Hip shooting" is when you aren't using the sights. Some people can do it very well, e.g. CFDA competitors (
http://www.cowboyfastdraw.com/). It takes a lot more practice, it's not particularly accurate, and it's a close-range-only proposition. It is not the same as "point shooting".
The differences can be subtle; I didn't "get it" until I learned to shoot... quail.
This is of interest: some shotgunners don't even like having a bead on their guns. But they still use their eyes to hit the target.