. In particular, they have in mind the idea that even if the laws of the universe were deterministic there would be a sense in which certain events could be said to be causes of others even though mathematically, the configuration of the universe at any time completely entails it at all others.

What;s the problem with that? If the universe is causally deterministic, it is causal. True,it is necesary to distinguish causal deterninism form acausal determinism (eg fatalism) and philosophy can do that. Or is your concern with future events entailing past ones? Then adopt two-way causality.

Correlation is all there is and the fact that many correlations are usefully and compactlly described by Bayesian causal models is actually support for the idea that the ascription of causation reflects nothing more than how the arrows happen to point in those causal models we find most compelling

I don't follow that. The existence of a map doesn't usually prove the non-existence of a territory.

In other words all you've got is the same old crap about preferring the simpler theory where that has no principled mathematical definition

The consequencesof abandoning the razor are much worse than those of having a subjective razor.