In my view, a lot of things that are noninteractively inferred are compositions of more fundamental things that required empirical experience. When you've had the causality of gravity thoroughly beaten into you at a young age, a lot of other things seem intuitive that would otherwise completely fall outside a framework for being unempirically learned.
Do you have a specific counterexample of causality you can infer without interaction or empirical experience of something related?
Caveats: I'm not a neurologist or psychologist, so this is mostly philosophical speculation on my part.