It may be the law, but it's a crappy decision and opinion.
The 6 Justices who agreed on the majority opinion (against only 2 dissenters) also discussed the implications of such status for Presidential eligibility.
It was five, not six. One of the justices was not present. I suggest you read that dissent. It's a lulu. More importantly, read the pedigree of the justices. That opinion, the justices, and the dissent are discussed here.
Thank you, Carry Okie.
An engineer with words.