The most common differences in functionality between our right and left arms and hands, come from the way we play beats, particularly when the right hand is playing hi hat and the left hand is playing snare.
In this position, the right wrist joint generally moves between a neutral position and extension.
Due to the fact that we play so many notes with the right hand when playing beats we repeat this movement hundreds and thousands of times, which causes our extensor muscles in the forearm to work very hard and get very strong.
-Make sure you regularly stretch your extensor muscles in your right forearm.
Set up your drum kit left handed and practise some wrist-heavy beats. Doing this will put your right arm in a different position with different movements to make.