Fame
The guy who chases tornadoes for a living and consequently dies in one? He's famous. The person who comes in after the tornado's gone to figure out how much, if anything, should be paid out to the insured? Not so much.
This isn't to say that fame and the insurance industry can't go together. Warren Buffett, known as the Sage of Omaha because he's made billions on his investment decisions over the years, became interested in the auto insurer GEICO back in 1951, when he bought his first stock in the company. Forty-five years later, he purchased all of GEICO's outstanding stock and brought the company under the control of his own firm, Berkshire Hathaway.
Today, anyone who's ever watched TV or listened to the radio knows about GEICO: It's the auto insurance company with the Australian-accented gecko, and it's worth billions of dollars.