Just wanted to note that I love the idea of using the term "immediate" vs "extended". I think there is no judgment here, I know I like my immediate family (parents, siblings) way less than my extended family (aunt, in-laws).
I'd probably not use the term "family" for romantic relationships to avoid confusion, but I do like the adjectives. I might use "network" or "relationships". On top of that, it has the advantage of including metamours too.