This created barriers to entry for valuation of money in the form of owning a scale that required higher precision in weight estimation. On top of that one can imagine that dispute that a merchants scale (this still probably happens even today) cheats was most likely common place.
It's fairly easy to imagine a cleverly placed point of additional friction can "tip the scales" in a merchants favor.
All that to say it would have been good to be in the "measurement" business way back in the day. Hell it's still a good business today, but we need it far less for the exchange of coinage/money which I think is a pretty great thing.
The first chapter of Adam Smith's Wealth of Nations also covers some of this. Specifically I remember the clipping topic, and then landlords weighing payments to protect themselves from clipping.
For clipping it means that when new coinage is minted that money is typically horded and the clipped coins are kept in circulation because they are deemed less valuable then their nominal value (the initial weight of the coin).
Why would someone use something more valuable in an exchange when the thing that's less valuable will suffice?
Gresham's Law would end up plaguing monarchy's and various governments for millenia and still to this day really.
We vastly under appreciate the very basic technology used to solve problems that existed for pretty much the entire world for thousands of years.