Why is defining negative zero equal to positive zero confusing? Because -0 < 0? That's to ensure there's total ordering - if they're equal (but not "identical")

Why is defining negative zero equal to positive zero confusing? Because -0 < 0? That's to ensure there's total ordering - if they're equal (but not "identical"), you need some definition on ordering them. I can understand the confusion many have with NaN, but the idea is that it's not a number, so it's not equal to anything in a number-like type.