Is it possible that it could be related to change needing to be weighed to be determined legitimate, or simply as a way of measuring the amount? (like paying with gold dust in the Yukon or what have you)
Beyond that I can see it being a result of extreme cultural stratification, as the article touches on - that it would be seen as demeaning for a higher-class person to put money directly into the lower-class person's hand.
It's quite interesting that no one has any clear idea! I love little mysteries like this.