The making of a decision, guided by a heuristic.So what would to call the referee’s specific mental process to simulate if not a mechanic?
"Mechanic" is cognate with "machine". Using a machine to generate a result stands in contrast to making a judgement.
This is a red herring. When I draw a lot out of a hat, or shuffle and deal cards, or rolling dice, I need to make decisions - about putting the lots into the hat, moving my hands and the cards in certain ways, picking up the dice and then dropping and reading them, etc.More puzzling still, how do the supposed TTRPG mechanics make themselves felt in play without some person's specific mental process to enact them?
But it would be spurious to say that there is no difference between performing those actions and getting a result and (for instance) imagining myself performing those actions so as to get a result.
Or to give another example: there is a difference between looking at a pile of things and intuiting their number, as opposed to counting them out systematically. (And some guessing games - how many jelly beans in the jar? - depend on that difference.)
Trying to assimilate mechanical processes to the use of imagination, judgement and intuition obscures understanding. It doesn't aid it.