Have you read William James on this subject? (He had this viewpoint.)

There is a simple way to communicate the basic idea to other people, by the way.

Observe in the following toy example ABC NOD MVC BOH ANN ACG GOB ACM NMN is both random and deterministic at the same time. The pattern is 100 repeating. That is B occurs and fails to occur with an exact regularity. A properly prepared experimental setup distributed appropriately will measure a uniformity. Another will measure irregularity.

Both can arise from a random process with the correct distribution. Indeed the evidence is that this the case.

There is uniform law over space and time and yet it is a general law, argues James Hutton. The future is like the past in the sense of the law; but different from that past. The future follows the law not in spite of the future being different from the past but precisely because of how the future is different from the past.

Indeed one way to view particles is as perturbations in a sequence of measurements of higher energy quantum events. This gives them the correct larger size and lower energies that we observe Wheeler argues.

Consider the teaching example once more. Suppose the next measurement is not BAD but GAD. The pattern is 10100 repeating. That is for C now and the pattern is at a larger scale. 100... |-> 10100.

John Wheeler and others therefore viewed uniform law as emerging from the statistics of an underlying true randomness. But at a higher scale. At a level that is more coarse.