[Adam]

The thing is, there's no first to touch provision in NFHS. So if you deem the "controlled" save to be a dribble, you call the violation as soon as they step on OOB, not when they come back in and touch the ball. If you don't think it's a dribble, it's nothing and can't be.

Even in NCAA, your reasoning is off. The first to touch requires the player to be out of bounds on purpose, IIRC, so again, it's either a violation as soon as they step OOB or it's nothing.