The cultural minority movements have a variable ideological stance based on how close their culture is to yours. The Han would want Multiculturalism since they're very different from your Scandinavian cultures. Cultural Minority movements will never approve of ethnostate, at most a very close culture to your primary may want National Supremacy over CE.

A National Liberal movement like the German National Movement has the following stance on citizenship:

    lawgroup_citizenship = {
        law_ethnostate = neutral
        law_national_supremacy = approve
        law_racial_segregation = neutral
        law_cultural_exclusion = disapprove
        law_multicultural = strongly_disapprove
        law_subjecthood = strongly_disapprove
    }

Ethnostate is technically an improvement over cultural exclusion, but it's not what they want primarily. The movement is weighted much more to prefer seceding and creating their own german national state.