The sidestick is a very powerful little handle and is best flown gently, usually with the hand near the base to avoid large inputs.
I disagree with your hand position. The sidestick is designed to be held with the thumb on top, putting your index finger comfortably near the Transmit switch - if you can't fly and transmit simultaneously you are not in control of the situation. (Ask Sully). And a small movement is far more difficult to achieve holding the sidestick near the base - there is a breakout force to overcome, which is easier with a longer lever. (Ask the TP's).
Regards
TP (Not a TP)