Anyone can point shoot. It's just a matter of pointing the gun and shooting. If you can't point a gun at a man-sized target that's 3 yards away, you won't be able to find the sights either. You're hopeless. If you can point a gun, it's still worth practicing pointing and shooting it more accurately. This isn't any different than throwing darts, and the keys to it are some of the same fundamentals that apply to aimed firing like grip and trigger control.
As valuable as I think point shooting is, I'm not convinced that point-shooting is much faster or even any faster than aimed firing. I can draw and get an aimed shot on target in 1.3 seconds. Competition shooters can do it in half that time. I don't see point shooting cutting that time meaningfully.
Where point shooting is valuable is not for speed, but when you do not have the physical space to bring your gun up and line up the sights with your dominant eye.
I cannot think of any reason to ever close an eye when shooting handgun. Eye closing of the dominant eye is done when you're trying to use your non-dominant eye, usually because you're trying to use a rifle or shotgun when you're cross dominant. I do that, but I probably need to switch to left-hand rifle. For handgun, just bring the sights to the dominant eye and never close an eye.
Point shooting, besides being useful when you don't have space to bring the gun up, is also useful when you cannot see your gun or your sights. There are several reasons that could be, including darkness and an attacker in your line of sight, blocking your eyes or controlling your head.
This is a good drill that is the familiar 1, 2, 3, 4 but starts with the gun in the 1/4 hip position (point shooting), moves up to the retention position, and the push out to full extension if you have the space.
https://youtu.be/i-_xVdj_ktc
Notice the presentation all the way to "4" is taking longer because they are shooting all the way up. They could instead rush to 4 before the first shot. That would not be slower, but it would not work if they didn't have or make the space.
I can't remember if they discuss moving back to make space in this video or not. If not, back-pedaling can be a bad idea. You don't want to end up on your ass. If your technique requires you to take steps back to allow full extension instead of point shooting and you end up tripping, your technique sucks.