Actually the study says that riding to work is more likely to result in the recommended amount of exercise to gain these health benefits. It is the amount of exercise, not the fact that the exercise comes from cycling.
Conclusions Cycle commuting was associated with a lower risk of CVD, cancer, and all cause mortality. Walking commuting was associated with a lower risk of CVD independent of major measured confounding factors. Initiatives to encourage and support active commuting could reduce risk of death and the burden of important chronic conditions.