Yes, that is what I meant by the 'first kind'.

Despite Freud's thing about the oedipus complex... The majority of theorists do not think that kids typically think about / want to have sex with their parents. So there might be an example of the first kind without the second.

Similarly, the majority of theorists do not think that parents typically think about / want to have sex with their kids. Another example again. Or best friends. Or some male friends who I have. Some supervisors etc etc etc.

It seems to me that a very deep sense of the first kind of intimacy can be quite apart from the second. While sexual partners (ideally if not always) kind of travel through the first kind into the second I don't think it is supposed to be the case that the first kind inevitably leads into the second kind or even that the second kind is a demonstration of just *how strong* that first kind is (think parent child relationships in particular, but also friendships or sibling relationships).