I think this has improved once the ramp from I-880N to CA 262 was changed to a "motorway_link". OsmAnd recognizes that the ramp is not a substantial fork in the road that drivers have to consciously pick a side (left vs. right).

Strangely, it still says to keep left on I-880N when it comes to the point where the HOV lane is separated from the rest of the road by the white double solid painted lines, but I think that is probably clear enough now.