Interesting that you say that. That's exactly what I do for a living, I'm a licensed financial advisor and advising my clients how NOT to go broke is my job and I've been very successful at it for the last 13 years. By your logic, sure, if you keep on buying Applecare and never using it then it's pure profit for the company, but since we can't predict the fate of electronics it makes better sense to pay $180+ that the OP paid then to pay $800 on a repair that Apple wholeheartedly charges.
Don't know why a company that makes high profits concerns you? You can't stay in business without making profits. You wouldn't have job if your company or whatever you do doesn't turn high profits so that's a moot point.
I'm happy to tell you, your Financial Advisor description of services is completely wrong.
Let's say you buy a laptop once every 3 years for sixty years. So, 20 laptops, you've paid close $4000 for AppleCare. You will have definitely spent more for AppleCare than paying for repairs. Since AppleCare is profitable, it's only common sense. As a financial advisor, I'm sure you can do the math on the average failure rate, average repair cost, price of AppleCare and determine if it's a good investment. IT IS NOT.
We can't predict the fate of anything in life. Do you advise on buying insurance for everything? There is a more than a 10% chance of a laptop getting accidentally damaged/stolen/lost in 3 years, almost as high as it's failure rate. Do you recommend getting additional 3rd party insurance for that? Where does it stop?