When I picked up my new iPhone 11 Pro Max, the Apple consultant in the store noticed that I didn't have a case on my present phone and he looked at my order to see if I had Apple Care +. I did. So he said that he was happy to see that my case was Apple care. Apple Care+ is your case.
Respectfully, I disagree.
My case and screen protector keep my iPhone in perfect, as new condition, enabling me to sell it on, in due course, for the best price.
My AppleCare+ extends my hardware warranty and tech support coverage and protects me against catastrophic damage. It doesn't cover any cosmetic damage.
For me, they are equally valuable and important.