It appears to me that the choices for a cyclist using a road with a games lane are
1) Try to filter on the left in the gutter
2) Try to filter right between the ordinary cars on the left and the cars in the games lane on the right
3) Ignore the restrictions on the games lanes and cycle in them anyway
4) Act like a car and wait in the inevitable queues on these roads
5) Avoid the main roads and use the side roads
1 + 2 just sound a bit dangerous. Option 2 is effectively splitting the lane which never seems a super option. Number 3 is probably safest but might be rewarded with a big fine. Number 4 seems utterly futile - if I am going to have to wait in traffic I might as well use the car. The last option seems the best, but these roads aren't great with rat-running in normal times, I doubt they will suddenly become magically bike friendly during the Olympics. And I hate side roads - they are slower, and I always manage to get lost.
Of course this assumes (quite reasonably) that the games roads will be gridlocked. If they aren't we will be subjected to the pleasure of cars trying to pass us without impinging on the games lanes.