They did not include just the 710-720 band. They stated which bands were included in the study and how much each contributed. The screen shot below shows this information.
View attachment 67582719
The observed changes are due to increasing CO2, CH4, and N2O concentrations inducing: (a) an IRF that decreases emission in the CO2 wings, CH4, and N2O bands (−0.21 Wm−2 decade−1), (b) stratospheric cooling that decreases emission in the O3 band and center of the CO2 band (−0.10 Wm−2 decade−1), and (c) a warmer planet that increases emission across the infrared spectrum and in particular the H2O rotational and window bands (0.45 Wm−2 decade−1).
So we have a change in ERF of -0.21 -0.10 = -0.31 Wm-2 decade-1. In the supplement they show this as -0.30 (rounding of -0.21 and -0.10 I expect) and compare to IPCC which was -0.34.
Note that this is per decade. We had 1.8 decades resulting in total ERF of 1.8 x -0.31 = -0.56 Wm-2.
The -0.0167 is per decade not from 2003 to 2021 and only for 710 to 720 cm-1.
Your calculations above are based on an incorrect assumption.
Perhaps if you read the study it would make more sense.