Diners Club Club Rewards - Hub cap stolen from rent card...DC

The hub cap on my rental car was stolen.

Is it worth dealing with DC for this type of reimbursement?

I have not returned the car...what info should I keep? What should I pay Enterprise?

I hope you get some helpful responses. I'm going a round with Avis right now.
Although the DC's people were very polite with me, it's hard for me to ask DinersClub to pay for what I suspect was just a touch-up on a scratched-up vehicle that the Avis people allowed me to drive off in, saying that it was just normal wear and tear. No damage was noted when I turned the car in.
I recently saw a rental Corolla in North Carolina that had had the whole frontend ripped off. That is what I am thinking about every year when I am paying my annual card fee. Rental car insurance is not suppose to about rental car companies maintaining their fleets at the expense of the consumer's insurance.
I will get tired of this process long before they do:(; we are only in our 3rd month. But if they are going to get any money out of me or my Diner'sClub, they are going to have to convince me that SOME damage occurred while I was in possession of the car.
Away back when I use to have to use CDW, I had a Alamo rental that had a hubcap stolen. The station manager tried to tell me I would have to pay for the hubcap inspite of the CDW. I laughed at him.
In order to have the DinersClub insurance in effect I am required to decline the CDW! The rental car companies need to stop playing games with their consumers before everybody pays the CDW, and figures it's a license to drive wrecklessly!