protein are 1-dimensional only if you throw away large numbers of degrees of freedom, and every detail of their folding is determined by their three-dimensionality.
That's equally (almost vacuously) true of origami, but the inherent topology of the building blocks still has a huge effect on what those degrees of freedom actually are. Do you think they're similar between a peptide chain and a sheet of paper? If no, then what are you actually arguing?