I like topics like this. I've spent considerable time pondering the same things.
My first statement is, "I think deer spook at predator scent not rubber scent". With that being said, I would still spend time and effort trying to de-scent something foreign smelling.
Below is a homemade de-scenting solution. Try it if you like.
2 quarts Distilled Water
1.5 quarts Hydrogen Peroxide
.5 cups Baking Soda
1 oz. unscented laundry detergent
After thorough mixing store in bottles that won't let light through. Light will reduce the shelf life of this product. Also keep caps loose for a week because this concoctioin will generate some gas and the bottles may come apart violently. Or the way I like to say it, "Rapid, Random, Disassembly".