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it's impossible for order to be natural.

"the natural order" Well that very phrase is an oxymoron. Order is inherently unnatural the universe bends towards entropy naturally. There's nothing natural about order.

the default state of the universe is chaos. not order. So there's only the natural chaos. No Natural order. The Chaos has to be bent unnaturally into order.
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DeWayfarer · 61-69, M
I know this sounds like oxymoronic, yet there is such a thing as ordered chaos.

Where the basic physical laws are in place yet everything else is in constant change.

This is in fact nature. π is π no matter what. It's a physical constant no matter what. Yet everything that π effects is in constant change. So the whole is ordered, yet chaotic.
DeWayfarer · 61-69, M
Neural networks from a ordered chaos!

https://understandingcontext.com/2014/07/chaos-about-us/

Now I know I'll have a hard time to show the opposite: chaotic order.

Yet the concept is something I came up decades ago and haven't seen any one refer to anything similar.

The two different models though do seem to work in tandem.