TOI forces the cue ball to stay on more predictable angles off the rail.
The only way to see the TOI, is in the after-contact-spin, if the cue ball appears to be "floating," it's done by cuing the ball slightly to the inside. When you use center-ball it will still have spin-after-contact, with TOI it counters the after-contact-spin and creates the knuckle-ball effect. TOI forces the cue ball to stay on more predictable angles off the rail.
Yes. People think this is all "stun" shots, but they always keep the tip just inside of center when they know the "stun" will touch a rail. The ball "floats" off the rail dead...there is no spin. If you hit center ball, the ball will come off the rail with "natural" English. They are "overriding" the natural by hitting a bit inside. That is why it "floats" instead of spinning as it rolls.
The only way to see the TOI, is in the after-contact-spin, if the cue ball appears to be "floating," it's done by cuing the ball slightly to the inside. When you use center-ball it will still have spin-after-contact, with TOI it counters the after-contact-spin and creates the knuckle-ball effect. TOI forces the cue ball to stay on more predictable angles off the rail.