Actually here the bike lanes sweep up onto a separate path at roundabouts, then back into a bike lane after the roundabout.

Its designed this way because being a cyclist on a roundabout is obscenely dangerous.

In this particular case youre not really stealing pedestrian privileges, the bike lane is designed that way.

In other cases, I just cant imagine someone hopping up onto the foot path just to skip a stop sign. It sounds absurd honestly.