Rental Car Insurance Coverage after Product Change

Hi all, I recently rented a car for an international trip and returned it about a week ago. I’m fairly confident I didn’t do any damages to the car * I did take before/after photos*. The rental was through Hertz and the location I returned it to, the only option for my travel plans, had some negative reviews in regards to people being charged for damages they weren’t responsible for, whether the reviews were true or not I don’t know, however it did make me somewhat worried about that happening to me.

My question is, I paid for the rental using my Chase Sapphire Reserve, however after the recent changes, and due to the fact my annual fee is due like right after the new changes apply, I want to product change the card to the CSP. If I PC the card and by some very small chance I get charged for damages after the PC, will the primary rental insurance coverage still be honored?

I know the CSP has primary coverage as well, I’m just unsure if the PC will affect my ability to make a claim. Thanks!