I'd say you're right. There is a whole thread in the handgun training section devoted to point shooting. I'll try to repeat much of what I posted there.
While there's not necessarily a "definition" of point shooting, it's fairly accepted that you point your muzzle where you want to hit, and shoot. There should always be fundamentals in play, whether you focus on them or not. That is the point of training. Train so well with the fundamentals that you no longer have to walk yourself through each shot/string of shots. As you get better and better with the foundation, you will be able to use it faster and faster--as long as you push yourself. Don't try to go from crawling to running a marathon. It seems that you shoot often enough to make it happen. If you think you have bad habits, start over; and have patience. It takes time to un-train, then to retrain.
Once you're good enough with the fundamentals, you can consciously work on "indexing." It's basically the same general idea, but think of it as faster fundamentals. You don't necessarily need to focus on your sites, trigger, etc.; but you will be able to see your sights. Overall, this is somewhat of a poor synopsis of everything discussed in the afore mentioned
thread, so I really recommend reading through it.
As far as online training, I'm not quite sure. I don't think online training could ever take the place of training in person, but I realize that there are circumstances that prevent some from being able to get that kind of training. If you can't find anything, let me know, and I'll see if I can make something happen for you.