[Dakota]

Speaking ASA (and all others I know of), the direction the BR turns after overrunning 1B has no bearing whatsoever on anything at all (with the exception of the LBR, which is not the topic here).

8-8-I trumps 8-7-B for the BR overrunning 1B. 8-8-I gives the BR protection until the BR returns to 1B. "Directly" in this rule only means "does not try to go anywhere else." The BR still is allowed to choose her path back to 1B.

8-7-H is the rule that states how the BR who overruns 1B can lose protection... by making a try for 2B. That's it. No try, still protected; try, no longer protected; no matter which direction the BR turns, no matter if in fair or foul territory.

Don't know why it is classified as an appeal play; it just is. But, it must be a live ball appeal only, since the runners are allowed to complete their baserunning before a dead ball appeal will be recognized, so before the appeal would be recognized, the BR would return to 1B rendering the appeal moot.