I haven't had a situation where I've needed an extended warranty except once. Yamaha replaced a faulty screen on PSRS900 well after the warranty was up. In fact I think they are STILL doing that.
My experience has been that, if something is going wrong, you will find it right away.
With that said, there are places, such as Sweetwater Sound, that offer a free extra year if you purchase from them.
As a rule, extended warranties are a big money maker for the seller!
Then again, I generally don't keep keyboards long enough for it to be a factor.