Thankfully the smart monkeys invented valves that only open for long enough when they are hot enough, so there is no longer any danger of accidentally leaving a gas range open with no flame.
Often when you go somewhere and it smells like propane, it's not a leak. Propane is odorless so we give it that smell, and when tanks reach near empty they start smelling a lot more.
Obviously don't take chances, but gas stoves are not dangerous. Look up some older shit women in the 30-40s cooked with.
Edit: PSA: But we are still monkeys and some places are more dangerous than others. Don't take chances if you smell gas, and don't leave it on for fun. Be safe, look both ways before you cross the street, and don't believe everything you read on the internet. Gas is really bad for the air quality in your home and the only power we really need is the mitochondria.