[vel0city]

I do agree consistency is probably the most important thing, but deciding which side should go first can have differences based on if you're driving on the left or the right.

Imagine a 4-way stop of 1 lane each way roads. Cars drive on the right in this example. One car rolls up traveling from west to east and another car from south to north.

If we give priority to the right, meaning the south->north traffic, they end up out of the way of the other car sooner than the car on the west to east traffic. They only need to cross halfway before they're unblocking the other traffic. If we give priority to the left, meaning the west-east traffic, the west-east car needs to cross the entire road before they start to unblock.