The 12 months of Applecare that comes with every Apple computer...is the exact same Applecare that has always come with Apple computers!
As long as 10-15 or more years ago...there was the 12 months Applecare that came with every computer...and there was the Extended Applecare (needed to be purchased & extended the same 12 month free Applecare to 3 years). Extended Applecare also came with 3 years of free phone support.
This was "
the thing" to get before Applecare+ started. The 12 month Applecare and 36 month Applecare both covered any problems with a computer (fixed for free)...as long as the problem wasn't a result of abuse or misuse.
In 2011...Apple replaced "Extended Applecare" with "Applecare+". The main difference is "Applecare+" includes repairs for accidents/incidents (basically damage due to accidents).
My main point is...unless you're going to use your new iMac as a "frisbee"

...the 12 months of FREE Applecare that comes with every new computer...will repair/fix anything that should go wrong with it in the first 12 months.
The ONLY reason you would want to get "Applecare+"...is if you wanted to extend this coverage longer than the first 12 months. Of course the accidental damage coverage comes with Applecare+...but what's the chance your iMac is going to get physically damaged sitting on your desktop 24-7??
For years & years (maybe even close to decades)...the free 12 months of Applecare has ALWAYS been awesome (way better than competitor product free warranties)!
Apple is simply trying to make more money by selling Applecare+ (since it must be purchased). Since there are so many more mobile devices now (phones, tablets, watches, etc)...then there was 15 years ago...it does make some sense for purchasers of these products to seriously consider getting Applecare+ for the accidental damage coverage.
You have a new iMac (which is very very very unlikely to get accidentally damaged).
I'm not trying to talk you out of purchasing Applecare+ if you really want it. What I do want understood is... the complementary/FREE 12 month Applecare that comes with every computer is NOT something to "
toss to the curb"...as some sort of inferior coverage.
Nick