slow pitch question

[Tap]

Talking slow pitch. Assume a pitch that exceeds the maximum arc allowed by the association in question. If a pitch that is "illegal" (ASA) or an "unfairly delivered pitch" (USSSA) hits a batter's bat, but the batter did not intend to swing, would it be treated the same as if he swung at the ball (i.e. it's fair or foul, depending on where it ends up)? My sense is yes.

ASA rules state that an illegal pitch is a ball unless swung at. USSSA rules state: "In each case an unfairly delivered ball shall be declared a ball by the Umpire; provided, however, that if the batsman strikes at any unfairly delivered Pitch, it shall be declared a Strike, with no penalty for the unfairly delivered Pitch. The ball remains in play if batted by the batsman."

There may be some ambiguity here in terms of what is a swing or when does the batter strike at a ball. My sense, though, is that the umpire would rule the ball fair or foul, depending on where the ball lands

Now if a pitcher throws it overhand or extremely fast (not just excessive speed, but a true fastball), the pitcher likely would be ejected or, at a minimum, removed from the pitching position by the umpire. But, as to the batter, would the answer be the same as above?