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I get the feeling they have gone all in for route continuity on this one, different contractors/designers compared to the tfl schemes and other boroughs.
The south side of the bridge looks like shared use, and I guess you will get some mixing with peds in there, though there are no ped destinations on that stretch so should be low numbers, and people will soon learn to stay north and head to the junction to move south.
I interpreted it from the map here: http://www.enjoywalthamforest.co.uk/wp-content/uploads/2015/03/019021-Lea-Bridge-Road-Consultation-survey-WEB.pdf
The railway bridge only has an cycle lane on the north side, and that's one way eastbound. On the south side it's shared use with peds.
However looking at the plan for section A it seems they're going to keep a westbound cycle lane on the south side and not expect all cyclists to cross to the north side - which is great.
I'd be delighted if my scepticism were proven wrong on all counts!