It wasn't only his dallience in White House closets with female visitors, or the Teapot Dome scandal in the Interior Dept. There were numerous illegalities in the Justice and Veterans Bureaus. As well, he constantly strattled Wilson's League question.
Harding was not involved, however, in any of these scandals hence at best you could fault him for incompetency on this matter not "total" immorality. Again, when taken as a whole the money and power manipulations in these scandals were minimal compared to funny business which went on under FDR, LBJ, and Nixon. BTW, remember Truman and the Pendergast machine? In many of those other presidential scandals, unlike those under Harding, the presidents were directly involved.