Dr Blakeley cautions that preparing such a case is not cheap, "but on the other hand, the potential benefits are huge ... from a global tourism point of view".
In 1995, the Department of Conservation's Auckland conservancy listed achieving world heritage status as a key part of its conservation management plan for the region.
The aim of putting a site on the Unesco list is "to encourage the identification, protection and preservation of cultural and natural heritage around the world considered to be of outstanding value to humanity".
There's no doubt the cones have been a thing of wonder to visitors and settlers, both Maori and Pakeha. In 1858, Austrian geologist Ferdinand Von Hochstetter could have been drafting the Unesco application when he wrote, "the isthmus of Auckland is one of the most remarkable volcanic districts of the Earth". He counted 53 "extinct points of eruption".
Noting the extensive Maori terracing, he compared these once "mountain forts" with the European "castles of the Middle Ages", describing both as "gloomy mementos of club law, where might alone made right ... "
Despite Auckland DoC's backing, the Auckland volcanic field was left off DoC's 2005 list of "six tentative candidates" for world heritage status.
By 2007, under pressure from Conservation Minister Chris Carter and Prime Minister Helen Clark, Auckland had not only got on to this list, but hit the top, as that year's sole contender. There were plans to officially nominate it at a meeting of Unesco's World Heritage Committee in Christchurch mid-year.
Unfortunately, the local Ngati Whatua tribe complained they had not been sufficiently consulted, and the whole process ground to a sudden halt.
In April this year it was back on track, Auckland councillors agreeing to the present $75,000 exercise, that the bill split two-thirds Auckland, the rest, Government.
There's no doubt achieving world heritage status will improve Auckland's tourist pulling power, adding it to a select list that includes the Tower of London, the Taj Mahal and the Great Wall of China.
For me, the greater attraction is the injection of money from government, both central and local, that will be necessary to render the bid realistic. Years of neglect and wilful damage to the cones will have to be addressed before we can invite the Unesco judges to come and inspect what we will claim is our treasured patrimony.
Even the most famous of the mountains, Maungawhau, is at best a case of genteel decay.
Those off the tourist track are worse. Mt Roskill, which a few years ago was saved at the last moment from the state road builders' bulldozers, had its public face at least flossied up at the time. But it is now rapidly returning to the neglect of its peers.
So if the minister and the mayor are serious in their bid, the good thing is, they'll first have to commit themselves to pay the price.