The legal fight over whether OSHA will collect or make public employers’ injury and illness records isn’t over, those on both sides of the issue tell Bloomberg Law.

Public Citizen, an advocacy group often aligned with worker organizations, and two public health groups filed a lawsuit Jan. 25 challenging the Occupational Safety and Health Administration’s new revision to its electronic reporting rule.

The OSHA rule change, first announced Jan. 24, ends a mandate enacted during the Obama administration that work...