Is Causality a “brute fact”?
On the regularist view the answer appears to be yes.
The regularist is saying causes don’t necessitate their effects it’s just the case that under certain conditions the effects follow the causes every single time. (or most of the time in the case of probabilistic causation)
This presents the same problem of induction, how is it that epistemic probability of this continuing into the future is raised?
I agree with your analysis, I think.
However I have a problem with a causality which is not causal to a resulting effect. A causality earns it’s name by being causal. Else, it is merely a non-causal result.