As I say, time is a useful piece of information in settling legal disputes. Point of sale purchase receipts or "event horizons" you could say are the oldest known form of writing there is. The cuneiform tablets were mostly purchase receipts. What I'm saying is: it's not a bit surprising if there isn't a single cultural exception in the planet? I mean I think there's an island tribe somewhere, maybe their record of death is a little loose.
Here I'll put it this way. If we're going to say everything should be treated like a purchase receipt, why stop at the time? When I buy something, the receipt shows my identity as the new owner of the product. Or we could say that I'm the new liable steward, trustee, of said product. When someone is born, the "purchase receipt" doesn't have a family, just an informant. Under who's care is it under?
Your example of the fling marriage and the sudden death, you're right, time is always relevant. Your example is one of usable knowledge. With that you can establish who stewards the money. My question is not "why bother recording time?" but moreso "why time is the redundant piece?" I could use the marriage example by saying that a decent "Vegas marriage service" would at least be competitive and offer a mini-prenuptual service. Like: "if someone's pregnant, who's held responsible? Are you sharing money or not sharing?"
Your example is actually a good example for what I'm saying.
When someone is born, or dies, or marries, or travels, or gives stuff, or takes stuff - time is relevant to all these events but so are the terms of stewardship. Is there warranty? It's under who's protection? Products do this quite efficiently, you can track the contract through the manufacturer and vendor policies. Well then you can track the marriage contract with the Vegas vendor *and* the policies of the marrying people. You can track the contract if birth by the doctor ("vendor") *and* the parent issuing the birth.
You wouldn't have to give all the money to the "dragon" because more terms were recorded than time. You could track the newborn being under who's protection because the guardian is implicit , not just the time. You could track the reason for death more accurately, not just the time.
You're explaining how logistics of time implicates a contract. What I'm saying is logistics of time is only a piece of a contract, and we are oddly silent outside of those facts. Birth, marriage, death - be they implications for very critical often irrevocable contracts - well then don't just record time, record intent. You can stipulate that it doesn't mean you share money. You can stipulate that the child is under so-and-so's protection. If the humans involved in these things are not stipulating the terms then yes, the contracts are binding by default and they acquiesce but more than that - they start behaving less like the contractor and more like the product.