I only lived in the city for about 6 years but I got the impression the football club was seen as more of an inconvenience. I seem to recall Leeds united having a similar issue with their local council
My theory is since Aberdeen is a fairly rich city the ties to 'the working mans game' and possibly any sport will never be as strong. Liverpool on the other hand hand being historically a 'working city' (No laughing at the back) with the shipyard etc (much like Newcastle, Sunderland, Glasgow, Sheffield, Manchester) and Football was and possibly still is an escape for the masses and each city recognises the impact a decline in their teams fortunes can have on the population. Aberdeen's success or decline doesn't seem to bother anyone in charge of the city.....but then again the rumours of corruption in ACC beggar belief.
The other issue is the Scotland wide problem of the Old Firm Glory hunting magnet. Too many folk born and bred in Aberdeen, Inverness, Edinburgh, Dundee, Perth will support one of them with the reason being 'oh its a family thing'. Thank fuck my family didn't have the same 'rule' other wise Id be stuck with Plymouth Argyle.