As much or more.
A former director of five transnational corporations trots out the tired canard that public sector employees, who are organized, do not deserve the pay increases they fought for and won because isolated pockets of private sector workers who labor physically onsite in meat packing plants, over-the-road trailer trucks, warehouses, supermarkets, ports, and other sites vital to the very survival of directors of transnational corporations are not enjoying comparable gains.
Transnational corporations are notorious for spending taxpayer subsidies on stock buybacks, which increase corporate executives' and board members' compensation in their sleep; cleverly avoiding taxes and environmental regulations by buying politicians; and above all, ruthlessly underpaying unorganized individuals transnational corporations go to the mat to keep that way.
The correct argument on the basis of wage gains by public sector employees is that ruthlessly exploited private sector workers deserve the same or better treatment.