There seems to be a dropped kerb to facilitate this on the Lothian Road side at least. Does make me wonder if a painted-bikes-on-the-pavement solution like at the Mound was the plan.
From the council, in response to an FOI:
You asked the following:
Q1. Is cycling on this section of pavement currently legal?
A1. No.
Q2. Did the design plans for this junction include making the pavement 'Shared Use'?
A2. Yes, however see below.
Q3. If so, why are there no signs indicating that the pavement is for 'Shared Use'?
A3. This section of footpath was proposed to be shared use to compensate for the banned left turn introduced as part of the tram project. The dropped kerbs were installed as part of other road layout changes to “future proof” the footway.
However, the necessary legal orders to ‘re-determine’ the relevant section of footway to allow cycle use have not been progressed and there are no current proposals to undertake this work. This is because we have concerns about the interaction between cyclists and pedestrians in this very busy location. The dropped kerbs allow cyclists to safely dismount, walk around the left turn, and re-join the carriageway towards Shandwick Place.