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They mean they’re looking at what laws the guy may have broken, not exclusively 1A. Probable cause gives cops a limited ability to arrest and ask questions later, and public nuisance laws absolutely are a thing.
It should be noted that stadium security initially held him, but the police did not detain him, and have not charged with him a crime because he did not commit one.
Edited cause Sync messed up the link
Man I was so hyped for Zelda HD back in the day off of that TP art style demo. The hype cycle around BotW was wild