This is one of the craziest, most convoluted approaches to randomness I've ever heard of. I love it. Personally, I would've just had a third-party roll a die to establish the order. If there's a tie, roll again. More than 6 siblings? Two dice. Fun for the whole family! (and would take just a few minutes)
Yes, thanks for prompting my memory. We needed an approach that put all five of the siblings on the same footing. Even a third party chosen by one of the five may not be trusted since the others may not know the party.
It was goofy, but satisfied them all without dissent. And it worked!