Quite right. There’s a building in downtown Phoenix right across from the newspaper HQ with “swastikas” all over a border that runs around it. I was told the symbols come from cave paintings and carvings.
There was also a Swastika Hotel in Raton NM that had swastikas all around the top of the building. May still be there, I don’t know. And I think there are swastikas in some sidewalks at a NM university. I don’t recall which one but I remember seeing a pic of it many years ago. Both taken from Am. Indian design origins.