Using wider tires will definitely reduce the surface contact pressure and reduce the effects of wheel scuffing. Itís hard to predict how much benefit that will be as it will vary widely depending on turf and moisture conditions, etc.
Additionally, watch how you control your turns. Wheel scuffs are often made by allowing one wheel to remain stationary during the turn. When turning, use a combination of forward or rearward movement to always keep both tires turning. It takes a little practice, but if done properly can virtually eliminate any scuff marks. Beyond that, soft and wet conditions, such as those in spring when roots will easily pull out, will certainly add to the issue.