At least the Valhalla bicycle router is doing strange things here: https://www.openstreetmap.org/directions?engine=fossgis_valhalla_bicycle&route=52.51845%2C13.39606%3B52.51634%2C13.39651#map=18/52.51738/13.39582&layers=YN
It seems that it does not know that the oneway here does not apply to bicyclists.
However, the two other (and more mature?) bicycle routers do the routing correctly, in both directions.
