I agree with you wholeheartedly, although I do think that there are proponents of the idea that the immaterial and material could converse/interact without having to be the same, or in connection. Occasionalism would be the closest idea to that view. I don't like what Occasionalists propose, but if you want to dig deeper into this subject that's definitely the place to look :)
I'm glad that my article got you thinking and thanks for leaving a comment!