Freak accidents can happen however they are mathematically unlikely. Car and home insurance are different matters as you are required to have third party insurance as a driver and the destruction of your home could ruin your life if you aren’t insured.Its "insurance." Freak accidents happen. Its no different than car insurance, renters/homeowners insurance. Its there to protect you incase there is an issue. Plus AC covers battery replacements; which alone can run at least $79. Then there is the added benefit of Express Replacement. New device overnighted at no additional cost.
Also, from personal experience, when you have AC and you are just outside your warranty window, Apple is usually more lenient. I've had multiple devices (iOS and MacOS) replaced for free outside warranty window because I had previously purchased AC. I have certainly received the benefit of paying a couple extra hundred dollars.
Regarding the original post, I never get carrier insurance. Its usually overpriced and you get some cheaply refurbished replacement device with a $200 deductible. AppleCare is the only way.
How often are you going to drop your phone and destroy it if you have a case and screen protector? I have dropped all my past and present iPhones and iPads on concrete or hardwood floors repeatedly with zero damage so the reality is <1%. I would not be paying hundreds of dollars for AC when a case and screen protector can give me around 99% protection from accidents. Batteries are an issue however you must get them below 80% within 2 years otherwise they’ll refuse to replace them which is a challenge even for someone like me. I got my 6S to 82% and my 8 to 84% after two years of use for each and I charged the devices to 100% and drained them to <10% each day.
AC is profitable for Apple which is why they provide the service. I certainly won’t be giving them money for mere “piece of mind” when there are very effective ways to mitigate any damage to my possessions.
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