If I understand correctly, that wouldn’t change things: hyphens are used in English to link words (e.g., “work-product privilege” — the noun
work modifies the noun
product, and the two together modify the noun
privilege) but two linked nouns of equal importance are a special case.
(Not my intent to be pedantic.)
This is not the best source (I’m pressed for time) but it gives a decent explanation: https://editorsmanual.com/articles/en-dash/#elements-of-equa...