So I could decide that I think your house is likely to burn down, so I buy insurance on it.
That's what enables the gambling. If the only people who could buy puts or calls were people who had insurable risks in the underlying; it would be a lot smaller market and less gambling.
which makes the insurance premium grow higher, reflecting the information that such a house has a high risk of burning down.
It doesn't matter that the buyer of the insurance has no material connection to the house. I can't see why such "gambling" shouldn't be allowed to happen, provided that there's enough regulation and monitoring so that you cannot then go and burn down someone's house to collect the insurance!
financial markets are based on stochastic events which do matter very much, such that paying a broker is worth it. If it's not worth it to somebody, they should not participate, but in that sense they shouldn't participate in casinos either.
Having some experience with both trading derivatives and gambling though, I’m fairly confident saying that it’s a distinction without a difference. In both cases a little guy with an understanding of risk and bankroll management and some aptitude for the game, which for trading is a Keynesian beauty pageant, can scrape up a few bucks. But most people are going to be fish for the house. The derivative markets are providing exactly the same service as casinos, albeit with considerably higher limits and opportunities for crafting complex bets.