On every single professional sports game I’ve ever seen, every single show, every single channel. Isn’t this our fucking money you’re meant to give out should, god forbid, something happen?
While there’s certainly no redeeming feature to be found in the advertising industry, I feel like you might be missing the point of insurance. An insurance does not safe-keep “your” money. You pay insurance for a service, you then receive the service and your money is gone, spent, as if you had bought groceries. The service you receive is what is called “coverage” but what is more easily thought of as “immunity against bankruptcy due to X”, X being the insurance case. That’s what you buy.
Figuring out how to best allocate the money is up to the insurance - it’s their money, after all.
Again, you do not “pay into” anything. There’s no pool or fund or growing personal account. You buy a service. There is an exchange of goods and services here. As you receive the service, the money ceases to be yours.
Whether or not other people file claims with the insurance doesn’t matter, just like it doesn’t matter whether or not the baker buys new furniture after selling bread to you. They’re not paying the furniture store with your money, they’re paying the furniture store with their own money that became theirs as soon as you relinquished it to them in exchange for the bread.