I didn't read the article, since it requires JS. So take what I say with a pinch of salt.
I always find that there's chaos as a cyclist turning onto Clements Lane, especially with roadworks. If you're turning there coming from the bridge, there are always pedestrians taking their chances and it's just very chaotic. If you turn onto there from Eastcheap, there are cars coming the other direction from Cannon Street and cars passing you on the left at the same time. It's pretty sketchy. I guess there are just too many people all shoved into the same space at once.