The Chase terms specifically exclude diminution of value/diminished value. Chase WILL pay "loss of use" (with appropriate backup) and some administrative fees that Hertz and others charge in connection with rental car damage, but they will not pay a penny of diminished value.

At least some personal auto policies (like my NY-issued Travelers policy) won't pay diminished value for rental cars, either. They'll pay diminished value claims to third parties if I crash into a third party's car, but they take the position that a rental car is "my" car so they won't pay diminished value to Hertz if I'm the one driving the Hertz car. FWIW, my Travelers policy also won't pay "loss of use" for rental cars, and Chase at least covers that.

This sucks in states where diminished value claims are allowed (not all states allow them) because Hertz can demand diminished value from you even if you have multiple layers of insurance. Hertz will negotiate, though. And I agree with guv1976 that you should demand an explanation of how replacing a window diminishes the car's value (I'm pretty sure a smashed window won't show up on a Carfax report like a documented crash). When I got hit with a diminished value claim (for much more significant damage) I demanded backup explaining how they calculated the number, and they refused to give me anything remotely meaningful (unlike loss of use, where they provided vehicle utilization logs and average rental revenues and whatnot). I'm still going back and forth with them about it months after they sent me the claim notice.