If you present with a non-consumed (less than 1000 cycles), non-user replaceable battery machine to Apple or an AASP, 99% of the time, it will get replaced, with or without AppleCare, and beyond the one year limited warranty.
Apple Certified Macintosh Technician (ACMT) / Support Professional (ACSP)
MacBook Air (13-inch, Mid 2012) 8GB RAM, 256GB Flash Storage
Mac mini (Late 2012) 16GB RAM, Fusion Drive (128GB SSD/750GB 7200RPM)
iPad mini 16GB, iPhone 4S 16GB