Cycling on a Roundabout - Part Deux

I recently posted something on how to cycle a roundabout. I took a longer route home from work today because the weather had turned very nice and I had the time. Heading southbound on Hale into the roundabout, I noticed signs that I had not noticed when eastbound on Trafalgar (although upon reviewing the video I saw that they were there too):

I think these signs are supposed to indicate that pedestrians will be on the sidewalk and at crossings, cars and bikes will be on the road and to watch out for all. Visuals being what they are, however, I think they also could easily suggest that bikes should be to the right of cars, which isn't quite what City planners were after, as you shall see.

The City of London posted good information on how to drive a roundabout when this one was introduced, including what I consider perfect advice for cyclists that matches my own except for my personal encouragement to ride in the lane rather than walk even if it makes you nervous. They suggest that experienced cyclists may choose to ride in the lane. Cyclists:

Hairsplitting aside, we are singing from the same song sheet.

They also mention some signage, but not the stuff pictured above.

I (in true lazy Rantwick fashion) had neglected to come through on my idea to suggest sharrows in the roundabout, but now I'm gonna direct some city folks to both of my roundabout posts in the hopes of achieving a little more clarity.

Yer Pal,

R A N T W I C K