There is no way that Darth Maul was worth more then Qui Gon Jinn. Thus i say the sith won that battle easily. Plus it led to Obi Wan teaching anakin which led to his path to the dark side which led to the creation of, and victory for the empire. So yeah terrible analogy man.
But anyway NSO just wanted to fight with no treaties because its obvious neither one wants to be the aggressor.