I don’t think it’s as simple. The way I’m understanding your framing is that it’s not that there’s no causality, but we have events that are always correlated but causality is impossible to determine due to quantum effects. However, what I read in the link I posted is that not only is it impossible to determine, there are multiple causal orderings and they are all valid due to superposition (ie it’s not just a mathematical artifact of our model but it actually behaves this way in the quantum realm). Of course I think no one actually knows and it’s one of the big mysteries of modern day physics, but the fact that this “model artifact” is able to be experimentally exploited to achieve things not possible classically (eg extracting energy from a thermally neutral environment) makes me think the quantum aspect is actually extremely weird.
> The way I’m understanding your framing is that it’s not that there’s no causality, but we have events that are always correlated but causality is impossible to determine due to quantum effects.
Not just due to quantum effects; due to the fact that the time ordering of the events is not invariant; it's different in different frames. The quantum effects come in because without them the correlations would not be there and there would be nothing counterintuitive to explain.
> there are multiple causal orderings
In the sense that the time ordering of the events is not invariant, yes, you can say that. But relativity says that no actual physics can depend on something that's not invariant and depends on your choice of reference frame, so really it would be better to say that there is no ordering; the ordering is undefined and can't play a role in anything.
> and they are all valid due to superposition
No, superposition does not play a role here. We're talking about measurement results; there is no superposition of those. For example, Alice drops the plate and Bob burns himself. There's no superposition there, just two results that always occur together, and classical physics can't explain why. Quantum mechanics can, and its explanation implies that there is some connection between the two events, but if it's a causal connection, it must be one that can "work" in either order, so to speak--or more precisely, that doesn't have to "know" anything about ordering to work.