This describes what I'm trying to say:
From Jaksa/Roder:
2. A Batter-Runner over-running first base who subsequently takes a single step (or steps) toward second base with intent to advance is no longer over-running and can be tagged out while off base. Simply turning toward second base after over-running first does not necessarily show an attempt to advance.
e.g.; A third baseman fields a grounder but throws errantly past first base. The Batter-Runner pivots toward second and commits one step in that direction before realizing the errant throw has been backed up by the catcher. He chooses to walk back to first: such B/R has shown intent to advance and is out if tagged off base.
Jim Evans also says that there is no penalty for turning left,
provided the runner immediately returns to the base. If the runner stands around deciding whether or not to run constitutes an attempt. That's why the rules and interpretations say that the runner overrunning first must
immediately return to the base. What part of "immediately" is unclear here? Do you think the word is just placed in the rule arbitrarily? Words mean things, and in this case the word "immediately" clearly suggests that you can't stand there for several seconds deciding your next move. Either take off for second, or return immediately to first.
Personally, I've never had any trouble distinguishing an attempt from an immediate return. And considering that less than 5% of the games I worked were of the Little League variety, I don't think I used a "Little League" approach.