Personally think Applecare+ is well worth it.
Firstly, one thing that has been overlooked on pretty much every post... extends your warranty to two years - major benefit as you are not high and dry for issues - which in my experience always come up, the second year two starts.
In addition, statistically, something will happen to the phone in those two years needing a replacement device, I don't think I have ever gone two years with a phone without it being replaced for some reason or another, in which case you get a second complete device with new battery, new everything. Well worth it for a phone.
For a laptop, or other, I would argue not so much, as they just aren't used the same way as a phone.
Also, the peace of mind is nice. If my phone gets engulfed in saltwater at the beach and ruined; I don't really care. I will say now that the phones are water resistant, it makes the insurance programs a little less admirable, but still I am all in favor of it. I think the Apple upgrade program with zero financing, and Applecare+ included is about as good as it gets for a phone. You know you are more than set for 2 years and on. Complete peace of mind. Also allows me to go caseless without much care about it, how the device is intended to be used.