Wow, I'm the lone holdout here so far. In 6 years with Verizon I've used about 5 phones. Had insurance for the first couple of years, then decided that by the time I get using a particular phone I can usually find them on Ebay in a pinch for a lot less than full retail. Since I had never had a claim in 2 years at that point, the cost of maintaining insurance at $7 per month for those two years was $168 - equal to or higher than the Ebay/secondhand price of any of the phones I was using at the time. Now, 4 years later, I have never had a claim, and I'm glad I haven't paid the $336 for insurance ($7 a month for 48 months) because the money I pocketed could go for an Ebay XV6700 which I see all the time for about $200. In fact I was considering buying a spare at that price "just in case" as I was building a custom ROM.
The economics of insurance only make sense to me if it's a brand new model, very hard to obtain, and very expensive (the last part is relative to one's situation). If I were using a 6700 in high school, I'd have insurance on it. High school being a distant memory for me, the economics are a little different.
Car insurance is a tricky analogy because there are issues like liability and medical expenses that make it an unfair comparison. If there were a constant threat that I could kill someone and be sued for millions just by carrying a 6700 in my pocket (I mean it's a brick, but not *that* much of a brick), you bet I'd insure it.
My answer to this poll would have to be "it depends", so I can't issue a flat-out 'no'.