Dropped third strike interference?

[reccer]

Dakota said:

But, that's not a batted ball....

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Tom, I apologize, I did not read your reply correctly. The discussion got off on a slight tangent to my original query. Cecilone responded that a D3K that is kicked by the batter results in an out whether the interference is intentional or not. So, I am taking that to the bank unless someone else objects.

What happens if on the D3K that is unintentionally kicked by the batter while a runner is trying to advance from third to home. Is it an immediate deadball and the runners are returned?

And while I have you, if the kick is intentional, any difference to which batter or runner is out?