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 left hand spends more of it’s time flexed and with an ulnar deviation. This causes the flexor muscles in the forearm to work a lot harder than the less active extensors. Which is quite different to how the right hand tends to work.
-Make sure you stretch your flexor muscles in your left hand regularly.
-Set up your drum kit left handed and practise some wrist-heavy beats. This will force your left wrist to behave differently and recruit the extensor muscles more.