New evidence "demolishes the conspiracy theories" that the Independent Commission Against Corruption is a rogue agency, including in its failed pursuit of Crown prosecutor Margaret Cunneen, SC, says Labor's shadow attorney-general, Paul Lynch.

Mr Lynch said revelations by the head of the Police Integrity Commission, Bruce James, that it has used "notices to produce" to force the immediate production of material showed ICAC had not acted in a rogue fashion when demanding Ms Cunneen's mobile phones.

Margaret Cunneen, SC, subject of an investigation into whether she attempted to pervert the course of justice. Credit:Peter Rae

"Whatever else this demonstrates, it's clear that ICAC was not alone in using notices to produce in this way," Mr Lynch said.

"I don't think this was the way Parliament intended these provisions to be used, but it demolishes the conspiracy theories that ICAC was a rogue agency."