Boo

[Zepp]

Looking for confirmation on a Batting Out of Order question-
(I apologize in advance if this topic has already been beaten to death in a previous thread)

(ASA Rule set)
B1 is scheduled to bat with no one out. B4 bats and is put out. Defensive coach properly appeals the batting out of order. B1 is called out for failing to bat and the out on B4 stands. (2 outs) Next proper batter is B2. B2 & B3 both single. The question is - does B4 now bat? (even though she has already been put out in the earlier play)

I would rule that B4 does come to bat in this case.
And that the only way you would "skip" a batter is if the improper batter was called out as a result of their time at bat and they are scheduled to be the immediate next proper batter.

Any thoughts or comments?