Sorry maybe my understanding is wrong .
That Apple care protection is only for the rest of the Apple products which does not include Iphone.
You might want to read up on the link u sent and clearly it is stated for what kind of product is covered under Apple care protection plan.
Iphone is covered only under AppleCare+ which must be bought within 60days.
Previously when it was still AppleCare and u can purchase it in a package , YES it is within a year but it all changed when Applecare+ was introduced during IPhone 5s era.
Am a user of AppleCare+ since the introduction of it, maybe you have experience in purchasing the AppleCare after the 60days do share as this might benefit all the iPhone users.