It wouldn't Pete, you're quite right that it needs players to make the call. My conjecture is that there is a culture of calling falling putts (and players self calling them) and that is due to them being infrequent and obvious. My hope is that if you make all stance calls infrequent and obvious, the culture will change to match what we currently have in the circle.
Will it change overnight? Of course not. I reckon it would change pretty fast at the top level and filter down.