Dominic MacAskill, head of local government for Unison in Wales, said councils should oppose public spending cuts imposed by the UK government and "challenge austerity Britain".
Mr Gove and Mr Wormald had been recalled to answer questions about a senior civil servant's allegations of bullying by one of the secretary of state's special advisers, Dominic Cummings, and James Frayne, his department's former head of communications.