Aren't those all just additional aspects of the game, additional constraints in the optimization process?

If people will make inferences from how long the Master takes to judge whether different configurations fit the rule, then the Master should either systematically manipulate his times to give the wrong impression or introduce some random waits. And if you are known for only using elegant rules, then you're using a sub-optimal strategy for choosing the patterns, because you're giving away more information than necessary.