Something I find interesting is when companies value a home they include the total value of the house including the dirt. Think about it... the company says your house is valued at $150k so you should insure for that amount. But lots in my area might sell for $10,000 or 20,000. So even if you experience a complete loss (think of those folks out west that have gone thru a wild fire) the dirt is still there with various improvements water, waste, ect.
This has not been my experience. Our homes are insured with Chubb (we pay more.....) but they are re-appraised every third year (at my request and free of charge) and the appraisal does not include the "dirt". What the appraisal does value is the cost to rebuild the house as it exists, NOT the market value. Chubb insures replacement value not the lesser of replacement value or market value. Having said that I always felt the appraisal was about 15% high.
So why do I pay more for Chubb? I myself questioned this for years until Hurricane Sandy. We suffered damage to our beach house and Chubb quickly paid the estimate WE obtained no questions asked. My personal belief is that you have insurance for catastrophic events. As a result we keep very high deductibles ($20,000.00). But when you need it.......you need it and Chubb was there. Many people spent years trying to collect from the others.
We also have investment properties at the beach (multi-family units that we rent) that Chubb does not (will not) insure. One was totally destroyed. For those properties we had to fight the fight and hire an adjuster. It was well worth the money hiring the adjuster but made me understand the difference between carriers. You have insurance so it is there when you need it. If you never need it, $1.00 of premium is too much. If you need it, and the catastrophic event occurs, you will be happy you went with a reliable carrier. Don't just base your decision on premium but ask your neighbors who have suffered a loss how difficult it was to resolve a claim. There is more to this decision than how much you pay each year in premium.
As an aside, I also did not like the annual increases. So when ACE bought Chubb a few years ago I bought the stock and the dividends help pay my premiums. The price appreciation has also been great.