As an American from the Midwest, I would never use the verb "wish" in regards to objects. I might say, "I would like/love a white wheel." I would use wish more to describe preferable situations or conditions, like "I wish it would snow right before Christmas," or "I wish I had more time."
As a fellow American Midwesterner, I can see where you're coming from, but there are certainly cases where we would wish for objects. "I blow out the candles on my birthday cake, and I wish for a new bicycle", or "I have six apples, but I really wish I had an orange", or "Genie, I wish for a new car!". It doesn't come up terribly often, but it's a perfectly cogent sentence.