Actually, if you look closely there are *still* give-way markings on the cycleways at the junctions with Albert Street and Shrub Place Lane.
The junction with Brunswick Street has very poor visual priority for cycling, because of the way the kerbline curves round across the cycleway - this will very much create the impression that drivers have priority. I tried to explain this at the consultation (this one, in Brighton, gives much clearer priority to cyclists in my opinion: https://www.flickr.com/photos/fredpipes/7407023244 - not my pic), but as usual Edinburgh council knows best.
There will be left-hooks galore when this is built. What a shambles.