This will be interesting, especially from a Federalist perspective.
America does not have national/Federal elections. We have state elections for Federal offices.
This ruling applies to a state Primary ballot. Political parties are private organizations.
Can the US Supreme Court overrule on a state court ruling, for a state secretary of state determination of the eligibility of a canidate's name to appear on a state ballot, for a private political party's nomination?
Does the Federal Government have power over who is eligibile to be on a state primary ballot, or, are state primary elections the exclusive domain of the states, or the people, under the 10th Amendment of the US Constitution?
This is quite a thorny states rights conundrum.