The thing that cracks me up about the universal usage of the Swastika is that those four ideals that the "L"s stand for don't translate into other languages as words beginning with L, so the symbolism is seemingly lost.
I'm not entirely positive that the "Mound Builders and Cliff Dwellers of Mexico, Central America" spoke Spanish or some Central American Indian language like Quechua (sp?) or another, but just think in terms of Spanish for the sake of argument...
Love -- Amor
Life -- Vida
Luck -- Suerte
Light -- Luz
Okay, so it works for "light". But then you examine Chinese that doesn't even use the same alphabet. This 4-L translation must be something very modern.