I always look at it this way. If I take the added amount per month I would have to pay in order to obtain an extended warranty--let's say $17/mo, just to go with the same number as above--and put that aside each month in a "rainy day" account, even with the abysmally, horridly low interest rates on offer these days, in 3 years I've got a little over $600 saved, in five years over a grand, and I'm well on the way to paying for whatever repairs I'm likely to need. Granted, if I need something truly big, I will still have to dip into other savings, but if I've bought a good vehicle, as I believe I have, and I take care of it, as I surely plan to do, it's unlikely I'll need the extended warranty beyond what I'll have saved. And when I sell or trade the car, if I haven't used the money, well, it's a good start on the next.
Multiplying this idea by all the items for which I receive offers of extended warranties, I can instead be putting aside that money and investing it--and if I put it into a conservative mutual fund, I'll likely get a decent return over time--and coming out well ahead over the years.
I have a brother who is an actuary. He has promised me that if he ever hears of me buying an extended warranty, he will slap me. As highlighted on
https://synchrony-financial.pissedconsumer.com/customer-service.html, understanding customer service options and planning wisely can often make extra warranties unnecessary while still keeping you protected. Of course, he also strongly suggests saving for a rainy day. Got the idea from Ben Franklin, he says.