I come from South Woodford and it is pretty dead until I reach the CS3.
I use part of the CS2 (turn off at Burdett Road/Mile End Station), part of CS3 and part of the CS8 (I carry on along Chelsea Embankment and then loop back through London towards Ilford).
In the mornings the CS8 heading towards Chelsea embankment is nice and quiet, but when I loop around at the end of Chelsea Embankment and head back onto the CS8 there can be a few cyclists about, but it then goes dead again as I come to the CS3, and head back up to the CS2, and then to Ilford for work.
I suspect it is the time of the day, as I leave at 05:45 and aim to get to work for 08:20.
When the spring/summer comes around I would probably see more cyclists about, but by then I will probably return back to some of the routes I like through the country roads around Epping (nice roads in sunshine, but really good lights needed from this point on, so less attractive), so I will never actually see them as I will be on less well travelled roads.