I thought about it, but my guess is that the Ginza or Shimbashi stations are a bit farther than the Oedo line is from the HR.

Edit: Went to the Google, and depending how you measure it, it may be that the Centric and the Hibiya Line Ginza Station are closer than the approach from the HR to the Oedo Line if you come from street level (walking outside and crossing the street into exit A4). But not if you come from exit A7 underground through the Daiichi Seimei building.