G'day,
  It's been over 6 months since I've driven or ridden this road so I'm not certain if there is a dedicated cycle path next to Mount Cotton Rd.  If there is then cool, it would probably should have made the news.  Otherwise in ordinary usage dedicated cycle lanes are tagged on the corresponding road way see https://wiki.openstreetmap.org/wiki/Tag:cycleway%3Dlane.  I can't find imagery and as I said it's been at least 6 + months but I think it may just be a shoulder, not a lane, which may look exactly like a lot of cycle lanes but shouldn't be mapped as one. 