You can absolutely observe non-determinism. That's what a race condition bug is, after all. You can also observe benign nondeterminism every day in anything that records ordering. Go do a parallel make, then do it again and observe the ordering of the mtime values in the intermediate artifacts. It won't be the same.

And FWIW: CPU-internal instruction reordering is observable too, though the details there get complicated. x86 hides (almost!) all the complexity from you, but ARM's OOO is leakier and requires careful attention to memory barriers.

It's visible from the perspective of the software engineer who molds non-deterministic abstractions into predictable interactions for the user.