it's seldom a massive challenge to construct built environments that mimic folding patterns because of their defiance of gravity. weight plus the length of overhangs, and the sharpness of pointed corners of the overall composition.

Yes, there are some challenges in actually building the structure, as you have pointed out. I think origami structures can be built with ease when we apply modularity of its elements like how modular origami works.

the visual characteristics of origami are one of the best reasons why it's appreciated in the building industry

Definitely the reason why we appreciate origami-inspired building. The form is peculiar but totally pleasing and aesthetical.

Have a great day ahead! Enjoy some !PIZZA