Not only is it not covered but it is explicitly excluded from coverage _even_ if you have AppleCare. Some people may have got screens replaced but that would have been an exception rather than an entitlement:
4. What is not Covered?
4.1 Hardware Service. The Plan does not apply to:
(i) Installation, removal or disposal of the Covered Equipment, or the provision of equipment while the Covered Equipment is being serviced;
(ii) Damage caused by (a) a product that is not the Covered Equipment (b) accident, abuse, misuse, liquid contact, fire, earthquake or other external cause, (c) operating the Covered Equipment outside the permitted or intended uses described by the manufacturer, or (d) service (including upgrades and expansions) performed by anyone who is not a representative of Apple or an Apple Authorized Service Provider (“AASP”);
(iii) Covered Equipment with a serial number that has been altered, defaced or removed, or has been modified to alter its functionality or capability without the written permission of the manufacturer;
(iv) Covered Equipment that has been lost or stolen. This Plan only covers Covered Equipment that is returned to Apple in its entirety;
(v) Cosmetic damage to the Covered Equipment including but not limited to scratches, dents and broken plastic on ports;