That's a Hand Throw. Normally used for Sweep Release for non-Pivot strokes. It's a Zone 2 compensation for a Zone 1 timing (alignment) problem.
Is the #4 Accumulator going faster as you say, or are you simply getting to the Ball sooner?
If it works, then use it, but be aware that with the Hand Throw and Pivot combination, you may have a tendency to come over the top. But, just being aware of it may help you prevent it.
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