This is not a hypothetical situation.
I have had the same home owner's insurance for 10 years. In the last two years I have had 2 claims. 1 for a falling tree during a wind storm that took out a fence section and 2 for a burst pipe in the house that damanged the floor in the hallway and kitchen. Months later, oOur carrier sent us a letter claiming they were canceling our home owners because "we were not profitiable' The grand total cost of both claims was less that $5000. Because our agent didn't stand up for us we went shopping around for insurance. We have contacted many agents and companies. No one as yet will cover my house. Some have indicated they may be able to cover us but at an extremely high rate. My wife contacted someone from the Insurance governance board and we were told that we could get fire coverage .... maybe. I am totally floored by this.