is there any differences between the plastic wraps concerning preventing oxidation
All good plastic wraps can slow oxidation,..the key is to wrap the product tightly while removing any trapped air from being sealed inside. That being said, cling types of plastic wrap tend to work better than some that don't. And all good cling wraps are not quite the best either if the thickness, mil of construction, is too thin. Thin wraps tend to tear when stretched and the coverage is then compromised. You may have to shop around to find the best wrap in your area, but usually Saran wrap has a good reputation for doing the function of preventing spoilage of foods. Some food items will oxidize even while wrapped so even the best wrap will not prevent it. Good luck with your food storage and stay safe.
