Jones also doubled down on his criticism of Ms Herron,saying he had been told she was a"tyrant"who had already commercialised the Opera House with a Samsung partnership in 2013.

"Many people have had problems with the same lady in the past. I won't go into those problems now. But plenty of correspondence[sic] has talked to me about her being a tyrant,"he said.

"Well done Louise,have you told your left-wing mates that no one has commercialised the Opera House more than you? What's the issue with The Everest?"

The broadcaster said criticism of his interview with Ms Herron was"more nonsense than you can poke a stick at".

"The greatest Alan Jones critic in all of this with language of hatred,it's the only way you can use it,isThe Sydney Morning Herald,"he said,noting that 2GB and the publication were corporate partners.

Jones also denied he had a partnership with Godolphin Australia Pty Ltd,after theHerald reported two of his business partners were fielding horses in the event.

"Strident criticism will always be interpreted as bullying,"he said.

Former Opera House chief executive Michael Lynch said Jones'initial interview with Ms Herron and his doubling down on his comments were appalling.

"I’m appalled by his treatment of Louise,"he said.

"I think Louise was put in a completely untenable position. I think trying to ambush her with[Racing NSW chief executive] Peter V'landys who happens to be an acquaintance of mine,was reprehensible."

Prime Minister Scott Morrison also appeared on Jones'show on Monday morning,and reiterated his support for projecting The Everest promotion onto the Opera House sails.

"It’s not like they’re painting it on there,it's lights flashing up there for a brief moment in time,and that goes all around the world,"Mr Morrison said.

"They do it for other things,the Wallabies indeed and others.

"I just don't understand why we tie ourselves up in knots about these things."

However,Mr Lynch said the whole idea of promoting a horse race on the Opera House"smacks of Sydney behaving at its worst".

"I think it’s outrageous,I think it's crass,inappropriate,wrong,"he said.

He said projections on the Opera House sails in support of the Olympics and the Ashes could be justified as they were national events.

"But the idea of sort of turning this into a branch of the TAB ... goes well beyond anything that’s ever been done before,"Mr Lynch said.

In an opinion piece written for theHerald,Racing NSW chief executive Peter V'landys said his organisation originally wanted to project The Everest barrier draw on the Harbour Bridge.

"We had been in talks with at least four government departments for at least 12 months about the use of the Harbour Bridge,"he said.

"Only at the last minute did we learn that approval had not been given.

"The Opera House was the alternate venue put forward by the NSW government,which wanted to support the promotion of the event,as it had done for other sporting events."

Mr Lynch said Mr V'landys comment was not good enough.

"I thought Peter V'landys'justification for how it's all happened - effectively blaming the government for it,saying it wasn't his idea - well that looks pretty pathetic to me,"he said.