Betting on the race was also suspended in the hours from when the draw was held until the results being projected amid fears of a security breach.
Herron was appointed CEO of the Sydney Opera House in 2012, having previously been a lawyer and corporate adviser, and was chair of Sydney's Belvoir Street Theatre for 10 years.
The change.org petition titled Defend our opera house: support Louise Herron, had passed 265,000 signatures by The Mandarin's Tuesday midday publication time.
"Alan Jones and his gambling mates at Racing NSW want to turn the Opera House into their own promotional billboard".
The forecourt and surrounding areas of the Opera House were packed with onlookers and people looking to make a stand against the use of the building to promote race colours, barrier draw numbers and The Everest Trophy for the lucrative event.
Racing NSW officials have named six potential emergencies for slot-holders for The Everest this Saturday, while they have also suspended betting on Tuesday afternoon after the barrier draw was conducted.
Trio win Nobel Chemistry Prize for research harnessing evolution
Smith showed in 1985 that inserting DNA into these viruses would make them display proteins linked to that DNA on their surfaces. In 1993, she became the first scientist to prove that you could directly guide the evolution of enzymes.
In a letter to the premier on Tuesday, the NSW Heritage Council said it was extremely disappointed with the government's decision and described the projection as "inappropriate".
In the letter, Heritage Council chair Stephen Davies said the decision goes against existing management policy and may impact the UNESCO expectation for World Heritage sites.
Mr Quint said the legal exemptions allowing projection onto the sails made clear that they must be "non-commercial occasions of brief duration". "Call Alan" onto the famous building.
"This is one of the biggest events of the year... why not put it on the biggest billboard Sydney has?" said Australian Prime Minister Scott Morrison.
Alan Jones' mobile is probably running hot this morning after those naughty wags at The Chaser projected his phone number onto the sails of the Sydney Opera House alongside the caption, "Advertise here".