Appeal a turn toward second.

[IRISHMAFIA]

Yes, it is labeled an "appeal". I believe this is to be an incorrect application of the term.

In layman's terms which I'm pretty sure applies in all rule sets:

An appeal is when an umpire may not make a decision on a rule violation until requested to do so by a predetermined authority.

Since there is no rule forbidding a player from making an attempt to advance to 2B (remember, not talking LBR here), there is no violation on which the umpire may be asked to rule.

The rule simply permits a BR to run through (over run) 1B without jeopardy of being retired for being off the base. When a player does, in the umpire's judgment, make an attempt to advance, that player has elected to forego this protection and if the ball is still live, play simply continues.