I have a long day ahead, so I will have to brief....
1. In this case, the PU has ruled the runner out for Batter's interference at home plate, even though he is now a BR.
2. Then the ball becomes dead because of the Interference, right?
3. The BR did not move from the batters box, right?
Since we agree on all of these things, what has the BR done on this play?
A. He/She Struck Out.
B. Caused interference because they did not try to go to 1B as is their right on this play (dropped 3rd strike).
A Dead Ball does not allow the BR to advance, does it? No.
So while Abandonment may be the wrong word to use here, since it has a technical meaning in the Baseball rules, the BR gave himself/herself up when they stayed in the box interfereing with the play. If you follow J/R's logic here, then you have given the offense a huge advantage in the play, because they can interfere without penalty. Also, J/R assumes the BR will try to get on base, which this person is not doing.
How can you not call the BR out? The dead ball by definition does not allow her/him any chance to advance, and there is no reason why their rights were violated by the defense so they can be awarded 1st base.
I can't see how the batter can be anything but out on the play.