Exactly. Maybe my wording wasn't clear.
Many people think that the batter is automatically out regardless.
Just had this happen this weekend. Our scorekeeper apparently missed the last out of the previous inning and told that same girl she was up to bat. The OOB got a walk and then stole 2nd on the next pitch to the next batter. Their scorekeeper came over and told our scorekeeper the runner (now on 2nd) was out of order and then she told the umpire who called the OOB out.
I should have known better (but didn't realize his call was wrong) and didn't argue with the ump that there were already pitches to the next batter so the batter on 2nd shouldn't have been out. It all happened so quickly that my dad who was watching (who is also an ump) didn't realize what was happening quick enough to alert me the call was wrong. It might have made a difference in the game, but it's rec ball so live and learn. I can guarantee I won't miss that next time.