Couple of FastPitch softball questions if I may

[MarkPSkins]

Okay, let me get this straight:

In ASA if the batter drops the bat onto a rolling ball, in other words, if the bat hits the ball, knocking it out of bounds away from F2 who is close to picking up the ball, then it is interference.

However, if the ball rolls into the dropped bat, and, in the umpire's judgement the batter did not intend to do it, and the ball gets knocked out of bounds, since it is Live and "play-on" it would be ruled foul.

In NHFS, if the batter, in the umpire's opinion, unintentionally drops the bat onto a rolling fair ball and knocks it out of bounds away from F2 who is close to scooping it up, it would be right to rule it a foul ball?