In my understanding there are two versions of TOI, then one I mentioned and something similar to what you are talking about. There are also other systems that use spin the same way. The problem with "your way" is that the ball will have a lot of inside on it on several shots. You don't really get the accuracy benefit either. Sure, I can make most of my shots aiming center to center or center to 1/2 and use inside to deflect the ball out, but IMO it's not easier, in fact it's way harder.
With the amounts of side needed you get a lot of swerve to contend with, AND the cueball can actually run away instead of slowing down, depending on wether inside is "running" english for that angle or not. So basically it becomes either like those people who use low outside on every shot, and pretty much use only one speed...Or it becomes a nightmare to figure out the exact tip position/speed combo, not to mention rail speed effects...I like inside more than maybe most people, but I'm not shooting all my shots with huge amounts of inside on them!
On a table length shot you need extremely good spin and speed control to not only make the shot, but have the proper control of the cueball with a system like that.
On the other hand, when using only a hair of inside, the swerve doesn't really come into the picture much, and the inside on the ball will be cancelled out after the cueball strikes the object ball on cuts(as you know, the collision puts outside on the ball). Yes, the inside does deflect the ball out, but it doesn't really stay on the ball, so the rail angles stay at least close to the center ball standard. And there is the benefit to using the whole pocket.
The way you talk about is a good learning tool for deflection and swerve, but in my opinion it's not as useful for playing a well rounded game. I tried doing something similar in order to beat the 10 ball ghost using only TOI some years ago (on camera, to show the method). I failed because of the previously mentioned problems. I kept losing my cueball and thought my fundamentals were no good. In reality, the method was no good, they way I was using it. For instance, I'd have a shot where I needed to go forward off one rail, but inside would be running english. To make the ball I would need maybe 1/2-1/4 tip inside. So my options would be to either run around (because I couldn't hold position), or check using center/draw and let the spin carry me forward. Those are both worse options than just using follow with just a hair of inside..That is why I failed back then. So I figured out later, how to use TOI to play a normal, well rounded game with a "hidden" edge, and the 10 ball ghost is no longer necessarily safe, TOI or no TOI.
