If your batter was in the very front of the 4' x 7' batter's box, the location of the plate becomes immaterial IMHO.
I would think that the opposite is true. The location of the batter in the batter's box is immaterial. The location of the ball when it crosses the plate is what should determine ball or strike.
But I would also agree...good luck trying to win a ball/strike argument with an umpire!