I suspect the issue is letting go of the wheel. Every controller/radio wheel I've ever seen when released will overshoot the other direction and bounce back and forth a bit until it settles at center. The servo is only following what the controller is telling it to do. The solution is simply holding on to the wheel, maintain control. Seen this concern several times over the years.

About the only way the controller could be designed to avoid this is by adding damping to the wheel. Which would make quick steering corrections harder. Either that or eliminate the centering spring.