I got knocked off my bike a few years back overtaking stationay/slow moving traffic, on the right. Whilst in the end I wasnt found to be at fault my solictor was clear that the law and courts see such a manouver as being inherriently dangerous and the correct course of action should be to wait with the stationary traffic.
There is case law regarding this, cannot remember which case it was but it was oan accident invovling a milk foat and a bike.
In the real world cyclists are not going to wait in stationary traffic, I still overtake on the right as you would in a car. Just go easy and keep your wits about you