If the catcher is successful in his attempt to retire the runner, the interference is ignored. In your scenerio, runner from 3rd scores. The interference really had no impact on F2 making his play (now proven).
Let's suppose, however, that the catcher's throw to 2nd was cutoff with defense now trying for play at plate. At the moment it is cutoff, the ball is dead with batter out for the interference and all runners returning. F2's initial attempt (throwing runner out at 2nd) is unsuccessful. Enforce the penalty from that point. Do not call out runner advancing to home for the interference if he was not runner initially played upon and was not attempting to advance to home at time of the interference.
The defense is never given options regarding batter interference.
Just my opinion,
Steve
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