The evidence for which, to me, sure suggests that there is a casual relationship between physical and mental events.
I think it's a bit funny to call this a causal relationship. People do it all the time and what is meant depends on the meaning of "cause", but it is a bit ambiguous here if the physical events are other events that cause the mental events.
My mental model of reductive physicalism is that the physical events are the mental events, i.e. the mental event occurs if and only if the physical event occurs.