I don't think that the photograph in thisislondon has anything to do with this particular junction.
I think that the truck would have been turning left from the A23 on to the South Circular. The design of the A23 southbound isn't great. It broadens to the left just before the junction, but it would be difficult for a large vehicle to go over to the left, and then turn left into the narrower South Circular. There is no cycle lane, nor, really, is there much scope for putting one in.
This is a dangerous junction, and there are half a dozen ways of getting killed on it. I've been crossing it for about thirtyfive years, and I confess I don't like doing it southbound, and I'm not wild about it eastbound.
Somebody suggested New Park Road, and I'd go along with that, although the right turn into New Park Road is iffy. New Park Road would have been no use to the victim, who, one presumes, was going on to Leigham Park Road and turning left there.
At the A23/A205 the lanes curve left and right, and traffic is changing from lane to lane. Cyclists going south stay to the left because they can see the bus lane on the other side of the junction.
It's easy to say - stick in the traffic, and stay away from the left hand kerb - and easy enough to do if you're practiced and confident. Sadly not every cyclist is practiced and confident, and this is a difficult bit of road to be confident on.
This junction isn't as obviously dangerous as the Pentonville Road junction that saw a cycling fatality earlier this year, but, however belatedly, it does need looking at.