Was the cyclist travelling within the posted speed limits?
Did the pedestrian walking out, give the cyclist enough time to react and stop at the posted speed limit?
The pedestrian introduced an unavoidable hazard to the cyclist who was travelling within the law on the highway. Ped did not afford the cyclist the potential to stop. I would put it down to the pedestrian not assessing oncoming vehicle speed, but he wasn’t even looking from the op’s report.
The accelerating hard from the lights occired at the junction, and away from the incident. When the pedestrian stepped out was the cyclist travelling at a constant speed or still accelerating.
I think the pedestrian is at fault, proving that could be tricky and if he doesn’t have cover its a waste of your time and energy.