Hand preference is related to perception, this is what the findings say. However, hand preference can be changed and so the perception. This is a good case how human ecosystem adapts.
Casasanto and his team have shown that for left-handers, the left side of any space connotes positive qualities such as goodness, niceness, and smartness. For right-handers, the right side of any space connotes these same virtues. He calls this idea that “people with different bodies think differently, in predictable ways” the body-specificity hypothesis.
In a recent study, adult right-handers were asked to wear a bulky glove on their right hand, temporarily turning them into lefties. After a short period of time, participants began showing a “good-is-left” bias like natural lefties, placing items thought to be “good” in a box to their left. This suggests that changes in motor experience can change the direction of the body-specific bias in a matter of minutes.