A related question:
Can you choose the "Trade" action and then use the Satyr's ability to instead steal a resource from another player or does the rule "The player who selected the action must take that action, or do nothing." disallow this?
I would interpret the Satyrs' magic as changing what the Trade action is for that player rather than letting them do something other than Trade - so you Trade(steal a resource) rather than Trade(convert Mana into Ore).
My (strictly unofficial) ruling would be that you can do the resource steal on your own Trade action.