Reason might be the overall protein fold is guided also by something else than detailed side chain contacts.
BTW: Hydrogen bonding and salt contacts do not drive protein folding at least not thermodynamically because it does not matter whether polar/charged residues interact with others or with water. Rather, the reason why proteins fold is the same why oil and water do not mix: Hydrophobic amino acids avoid water. This is an entropy driven process where electrostatic interactions do not matter. See also the „molten globules“ model. Basically it means a predecessor of the protein folds early on due to a collapse of the hydrophobic core. Tertiary structure is then refined due to residue/residue interactions. In the end, it’s the distribution of hydrophobic amino acids in its sequence that’s most important for the conservation of a structure. Surface residues can vary quite a lot.