[ epistemic status: one size does not fit all—this is mental exploration, not advice nor disagreement with a system that works for you. ]
I know of many kids who take turns or let the oldest choose, or have a schedule, rather than randomizing. The common denominator among them and your story seems to be the “fallback to neither” and “time-out for whinging” elements, not the decision mechanism nor the prior explicit buy-in.
[ epistemic status: one size does not fit all—this is mental exploration, not advice nor disagreement with a system that works for you. ]
I know of many kids who take turns or let the oldest choose, or have a schedule, rather than randomizing. The common denominator among them and your story seems to be the “fallback to neither” and “time-out for whinging” elements, not the decision mechanism nor the prior explicit buy-in.