My only reason for talking about laws in the first place was to try to establish an a priori argument that the ultimate condition of the universe has to be ordered and not random
However, you have stated previously that this order is encoded in space-time itself and this may not be the case.
It is much more likely that the laws we divine are the observable product of unobservable structure.
The word 'structure' implies a physical aspect, 'underlying order' seems better.
I may have misunderstood the current state of QM but my understanding was that some argue that the ultimate state of the Universe is randomness and that this therefore denies causality.
There are so many models of reality at the moment, all useful in their own ways, but I'm not sure if any are proposing 'total randomness', as this would certainly fly in the face of the observed order in the visible universe. Uncertainty and Indeterminancy do certainly play roles in most models and have been experimentally demonstrated to exist in the non-local effects produced by something like Bell's Theorem. Non-local effects certainly defy causality without denying it. Causality exists (as one of the Laws) but it has been demonstrated on numerous occasions that there appear to be aspects of reality that transcend causality.
It may be possible to support this contention by experiment. For example, it is theoretically possible to explain the apparently random behaviour of surface water in a river rapid by understanding the nature or the river bed beneath it. Similarly it might also be possible to infer the ultimate structure of the Universe by examining apparent Quantum randomness under different conditions.
Quantum randomness may be explained in two ways (that I am aware of, there may well be more)
1) The Laws which guide and permeate the known universe are non-local, they cannot be found in any specific part of space-time but all through it. As such, they transcend causality as do some of the observed effects they have on the visible (and quantum) universe.
2) Uncertainty, Indeterminancy or randomness may actually be an innate part of certain Laws - they may have a genuine existence within Quantum laws and, as such, display what we percieve to be randomness in our known universe. This does not mean that all is random or that all is ordered.
Either way, randomness has been detected in our universe, but so has order.
We may infer the existence of the Laws but we may never measure the Laws directly. Any experiment we could possibly perform would be the same as trying to describe a ship by examining the wake it leaves in the water. There may be things we can infer about the ship but this will always be a minute fraction of the knowledge we could gain by examining the ship directly.
Everything I've just said could well be a lie or a gigantic mistake.