the lattice basically increases surface area by a lot that increases cooling Same concept as a radiator .
The materials are also important , certain types of stone have desirable thermal properties especially the amount of heat they retain .
Instead of being close minded and think all things ancient/eastern are bad and useless (or all good either) why not incorporate the best of all ideas and make cooling efficient and cheaper .
Eco friendly cooling are not, they absolutely a cultural marvel, those intricate designs tell untold stories and a testament to human endeavor.