Laws' bosses are still refusing to say whether Laws absence this week is the result of disciplinary action.
Mediaworks' radio manager Jana Rangooni would not explain why Laws was not filling his usual Radio Live slot, saying she could not comment on employment matters.
She refused to say whether the station was backing his statements.
The Herald on Sunday this morning said it will not lay complaints with the police or the Broadcasting Standards Authority over Laws' statements.
Editor Bryce Johns said the paper had a strong case for an official complaint but decided any action would "give oxygen to a fool".
However, he had spoken to "spooked" staff who were considering laying their own complaints.
"In the end he's just a man who is struggling for relevancy."
Police have not received any criminal complaints over the comments, a spokesman said.
Laws did not return calls.