A paddle can be feathered for right- or left hand-control
Paddling with a right-hand controlled paddle, you hold the paddle in a “tight grip” at your right hand and rotate the paddle inside the left hand. The right hand controls the feathering – there by the name “Right-controlled”
A left-hand controlled paddle works the opposite way where the left hand controls the feathering.
Whether you like Right- or Left-controlled paddles the best, has nothing to do being right- or left-handed. It is only how you have learned to paddle at the club you started your paddling career.