What is appalling is when the process turns into whose life is more valued than another, and the size of the payout is expected to match. 9/11 showed that ugly side of our society.
Edit: I'm no communist or socialist, and have no problem with people working harder/smarter and earning more than others, buying extra insurance, etc., but when a tragedy happens and wipes out a bunch of folks, if there's a pot of money to pay claims, they're all equally dead.