I would have thought one of the main requirements for a pilot was good hand eye coordination

Muscle memory is pretty hard to overcome especially if one has spent years and thousands of hours in a particular seat. The initial switch from right to left or vise versa can be a bit disorienting to say the least. I found that after grabbing for a particular knob for 3000 hours with my left hand in the right seat my initial and subconscious reaction was to use the left had to grab it even in the left seat. It takes a while to replace or reset your muscle memory. Honestly the flying portion wasn’t as much an issue as the cockpit orientation problem was.