Is it a Dropped Third Strike ?

[KJ'sDAD]

Rule 8,
Section 1 The Batter Becomes a Batter-Runner
B. (Fast Pitch Only) When the catcher fails to catch the third strike before the ball touches the ground when;
1. There are fewer than two outs and first base is unoccupied at the time of the pitch, or
2. There are two outs and first base is occupied.

Would not this change cover it and be easier to understand?

Rule 8,
Section 1 The Batter Becomes a Batter-Runner
B. (Fast Pitch Only) When the catcher fails to catch the third strike before the ball touches the ground when;
1. There are fewer than two outs and first base is unoccupied at the time of the pitch, or
2. There are two outs.

Just lose this part.

"and first base is occupied."

I could scratcth this out of my rule book real easily.