In April last year, the bureaucrats went further and recommended the car wreckers.
They advised councillors "the high cost of refurbishment" - a figure of at least $70 million was proposed - would "significantly exceed" its investment value, and "the economically rational decision would be to demolish the building".
To their credit, councillors baulked at the proposal to bowl a classic - in New Zealand at least - of the "modernist style" and asked officials to research the market for any interest.
It took seven months but, finally, in November they came back with the word that a freehold residential conversion, possibly a hotel, was seen as the best option. Councillors decided to mull it over and meet again after Christmas.
In February they agreed to go direct to the market for expressions of interest. Now, after four months, there's to be a workshop for councillors this month "to confirm requirements to be built into the request for proposal process to seek private sector investment interest".
And then after that, if councillors agree, developers will be asked to submit any proposals.
In the background is a belated bid to have the 1966 high-rise listed as a heritage building. Unless the council agrees to the proposal from Heritage New Zealand and others, a hearing will take place in September.
Meanwhile all this indecision has stalled planning for development of the surrounding arts precinct; in particular, the council's arts, culture and entertainment arm, Regional Facilities Auckland, plans to base national and regional performing arts organisations together alongside the venues.
One proposal is to move the Regional Facilities offices out of the Aotea Centre into the administration building, alongside the likes of NZ Opera and Auckland Philharmonia Orchestra, and use the space freed in the Aotea Centre for a new rehearsal space.
But none of this can proceed without a decision on the future of the administration building. And unless councillors change their minds and require any testing of the private market to include office space for these arts organisations in the brief, the delay in the budgeted upgrading of the Aotea Centre will drag on.
The unwelcome spectre lurking in the background is the asbestos fire protection, wrapped around the building's steel skeleton.
Officials claim it becomes a problem each time the building has to be opened up to get to service ducts and the like. This, they say, prevents it being let on either a short- or long-term basis in its present condition.
They say that if a service duct is opened and any airborne asbestos is monitored, the whole floor would have to evacuated for remediation. That would rule out a commercial tenant, such as Real Groovy, on an "as-is" basis.
This means the once proud centre of Auckland local government will remain empty until councillors stop calling for reports and make a decision.
Hopefully the initial "expert" advice to bowl the building is now off the table. That leaves them with the question, do they want a privatised block of apartments or a hotel slap bang in the centre of Auckland's publicly-owned arts precinct, or do they want a refurbished publicly- owned administration hub for Auckland arts organisations and related activities.