Mm, I think that is a false duality 😕 i.e. another version of the freedom vs. order false dichotomy that I mentioned. Your perspective sounds very intriguing, but I think fits more with the conceptualization of the Hermeticists perhaps. The Assassins do not view the world in chaos vs. order; this is actually a Templar rhetoric and casting of their conflict.
The Assassins see the world as infinitely complex, a quality that the Templars call chaos. They do not ascribe merits to that "chaos" but only recognize that that is nature of Nature. They view human-imposed order, be they institutions or models like language, as necessary to comprehend and process that nature. This is because humans lack the ability to know instinctively—a sixth sense that the Isu claim to possess. However, order bears with it a cost and that cost is accuracy. Order necessarily involves some measure of simplification, of generalization, and so the greater the order, the greater the margin of error. The greatest danger of all is when humanity proceeds by trying to impose the widest breadth of order, to erect artificial certainty, because this generates the greatest margins of error. The only benefit to such sweeping, forceful order is efficiency: you can guarantee most immediately the accomplishment of your goal, albeit with costs that you accept to be "negligible" or necessary.
Templars, because of an underlying laziness in mentality or a severe insecurity about themselves and the world around them, welcome this efficiency or maybe even believe it is the only possible means of achieving a dream world. (This mentality, by the way, is the definition of conservatism.) Assassins see the costs to be too great, to not at all be negligible, for these costs may be an untold number of innocent lives, or it may be diversity in thought that can contribute to a deeper understanding of the world at large. Even more ironically, the errors produced by this mammoth order ironically manifest in unfathomable chaos. (In real terms, this is the Templars enacting purges or triggering wars for supposedly "greater goals".)
But the Assassins do not promote chaos nor do they despise order. As I said, Assassin philosophy recognizes the necessity of order for humans to make sense of the world around us. Rather, they believe that one's starting point should not be simplicity and certainty, but acceptance of complexity and our own uncertainty. To prevent ourselves from overgeneralizing, to be wise, one must always be open and unafraid of the "chaos" of the world, rather than trying to obscure and censor it with an artificial order that only generates more chaos.
To the Assassins, perfection is unreachable because Nature entails an order in its chaos beyond human faculties. But this does not mean the solution should be to give up and embrace chaos or abandon all effort and resign to nihilism. Far from it, Assassins believe in building towards that perfection, that utopia, via incremental steps, using order and refining that order with greater and greater sophistication, so that we can reach as far as we can towards the unreachable objectivity, unreachable perfection. Only in this way can humanity grow together and create a better peace.
This is why Assassins believe in free will and oppose authoritarianism and coercive regimes. For the Assassins, the cost of the "efficient" means of growth are unacceptable. Too many lives are lost for what is ultimately an intolerably lower standard of peace (that of the absence of war yet with no resolution to structural violence). For the Templars, this lower standard of peace is tolerable because the Assassins' standard is either seen as too fantastical and unachievable or they cannot even begin to fathom it.