Best freeways? Yes.
Best public transport? Debatable. Sydney’s train network shits on Melbourne’s, partly because rail patronage has always been high due to our inadequate road network meaning investment has always been high. Melbourne had only a third of the rail patronage of Sydney until very recently. The inadequacy of the train network in Melbourne is offset by the tram network in the inner city, which is given lots of priority.
I’d be curious to see what they consider the definition of ‘city’. Do they include the metropolitan area, or are they just basing it off of the ‘city’?