As far as I can tell "Sydney" refers to
1. Sydney the Suburb (aka CBD, the City, when your postal address includes the word "Sydney")
a) as an area https://www.openstreetmap.org/relation/5729534
admin_level=10
boundary=administrative
place=suburb
- http://en.wikipedia.org/wiki/en:Sydney%20central%20business%20district
b) as a label node https://www.openstreetmap.org/node/3884437213
place=suburb
2. City of Sydney the Local Government Area
a) as an area https://www.openstreetmap.org/relation/1251066
admin_level=6
(LGAadmin_level
)boundary=administrative
place=municipality
- http://en.wikipedia.org/wiki/en:City%20of%20Sydney
3. Sydney the capital city of NSW
a) as an area https://www.openstreetmap.org/relation/5750005
admin_level=7
(district or regionadmin_level
, eg Sydney, Illawarra, Hunter Valley)boundary=administrative
http://en.wikipedia.org/wiki/en:Sydney
b) as a label node https://www.openstreetmap.org/node/13766899
admin_level=4
(this is for the capital tag, meaning it's the capital of the state)place=city
- http://en.wikipedia.org/wiki/en:Sydney
I think this is good, we have the Sydney suburb and then the city.
For Parramatta we have:
1. Parramatta the suburb (where Parramatta is listed as your postal address) a) as an area https://www.openstreetmap.org/relation/5634771
admin_level=10
boundary=administrative
place=suburb
- http://en.wikipedia.org/wiki/en:Parramatta
b) as a label node https://www.openstreetmap.org/node/19160869
2. Parramatta the LGA
The admin_level tag https://wiki.openstreetmap.org/wiki/Key:admin_level "describes the administrative level of an object within a government hierarchy". So in that sense Parramatta and Harris Park are both at the same admin_level of 10 (suburb or locality in Australia)
On the other hand, I think that urban centres aren't equal. Just compare Parramatta to Harris Park, Hornsby to Asquith. I think it might be the population tag? But either way the current mapping seems to get it right see https://www.openstreetmap.org/#map=11/-33.8168/151.1643, the only names shown are the more important ones like Parramatta, Liverpool, Blacktown, Hornsby, Castle Hill, Chatswood, Sutherland, Penrith until you zoom in.