When analyzing a particular corner configuration, that individual corner geometry is represented in 2 = 64 different waveguide structures corresponding to all possible configurations of the other corner. Thus, for each individual corner configuration, we calculated an average and standard deviation of the percent transmission through all 64 structures in which that corner configuration is present. Figures and show the averaged percent decrease in transmission as a function of disorder for the top and bottom corners in the bent waveguide, respectively. We note that lattice around the top corner is composed mostly of unit cells from the trivial lattice, while the lattice surrounding the bottom corner is mostly topological. We will thus refer to these two corners as "majority-trivial" (top) and "majority-topological" (bottom), respectively, Figure . The average transmission decrease due to disorder in the majority-trivial corner shows a very slight downward trend with increasing disorder, with a 12% difference between the maximum and minimum transmission values, a pronounced robustness to disorder. In contrast, the corresponding plot for the majority-topological corner reveals a much stronger downward trend, with a range in average transmission values of 58%. The configuration used for the majority-trivial corner in our bent waveguide is thus substantially more robust to disorder compared to the majority-topological (by a factor of 4.8). This dichotomy is further evidenced by the fact that the standard deviations in Figure are larger than those in Figure by a factor of 3. In Figure , the standard deviation for each configuration of the majority-trivial corner reflects the influence of disorder in the majority-topological corner, and vice versa for Figure . Therefore, the large (up to 25%) standard deviations observed in Figure also demonstrate that transmission through the bent waveguide is less robust to disorder in the majority-topological corner than in the majority-trivial corner. To verify that this behavior is not an artifact of the relatively short diagonal length, we repeated this robustness analysis for an omega waveguide with more unit cells along the diagonal (Figure ) and observed the same relative robustness for the two corners. We also confirmed that shifting the input direction of the wave does not flip the behavior of the corners: in both cases, the majority-topological corner is less robust, consistent with the expectation that the structure obeys optical reciprocity (Figure ).