Unfortunately these things do happen - as previous poster noted, it's impossible to have a product line that never has issues. Having your one monitor fail doesn't mean it's a bad product or that you paid too much for it, it is simply one case out of thousands or even millions. Now, if there were a high percentage of users who were having them die suddenly, then that might speak to a poor product. Your one case alone however can never be a testament to how great or how awful a product is. People forget that unfortunately.
Ultimately, warranties aren't bought on the belief that the product being purchased is poor quality, they're bought for the piece of mind that the consumer has in knowing they won't have to fork anything out of pocket in the event they do end up as one of the unlucky ones. Unfortunately, there's no way to know if you'll be that person that has something go wrong. And if you don't have the protection and something does go wrong, you're more likely to have a negative impression of the company than if you had had the protection and it was promptly taken care of.